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Finding the Fourth Proportional to 3,828.87, 5,284.11 and 2,127.47

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Solution

The fourth proportional to 3,828.87, 5,284.11 and 2,127.47 is: 2,936.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.87 : 5,284.11 = 2,127.47 : x
  2. Step 2: Convert to fraction form
    3,828.87/5,284.11 = 2,127.47/x
  3. Step 3: Cross multiply
    3,828.87x = 5,284.11 × 2,127.47
  4. Step 4: Simplify right side
    3,828.87x = 11,241,767.06
  5. Step 5: Solve for x
    x = 11,241,767.06/3,828.87
  6. Step 6: Final answer
    x = 2,936.05

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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.