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Finding the Fourth Proportional to 3,725.64, 5,585.49 and 2,410.74

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Solution

The fourth proportional to 3,725.64, 5,585.49 and 2,410.74 is: 3,614.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.64 : 5,585.49 = 2,410.74 : x
  2. Step 2: Convert to fraction form
    3,725.64/5,585.49 = 2,410.74/x
  3. Step 3: Cross multiply
    3,725.64x = 5,585.49 × 2,410.74
  4. Step 4: Simplify right side
    3,725.64x = 13,465,164.16
  5. Step 5: Solve for x
    x = 13,465,164.16/3,725.64
  6. Step 6: Final answer
    x = 3,614.19

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