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Finding the Fourth Proportional to 3,519.47, 4,857.47 and 2,028.25

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Solution

The fourth proportional to 3,519.47, 4,857.47 and 2,028.25 is: 2,799.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519.47 : 4,857.47 = 2,028.25 : x
  2. Step 2: Convert to fraction form
    3,519.47/4,857.47 = 2,028.25/x
  3. Step 3: Cross multiply
    3,519.47x = 4,857.47 × 2,028.25
  4. Step 4: Simplify right side
    3,519.47x = 9,852,153.39
  5. Step 5: Solve for x
    x = 9,852,153.39/3,519.47
  6. Step 6: Final answer
    x = 2,799.33

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.