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Finding the Fourth Proportional to 3,881.25, 5,822.79 and 1,284.19

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Solution

The fourth proportional to 3,881.25, 5,822.79 and 1,284.19 is: 1,926.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.25 : 5,822.79 = 1,284.19 : x
  2. Step 2: Convert to fraction form
    3,881.25/5,822.79 = 1,284.19/x
  3. Step 3: Cross multiply
    3,881.25x = 5,822.79 × 1,284.19
  4. Step 4: Simplify right side
    3,881.25x = 7,477,549.32
  5. Step 5: Solve for x
    x = 7,477,549.32/3,881.25
  6. Step 6: Final answer
    x = 1,926.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.