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Finding the Fourth Proportional to 5,609, 8,417.10 and 2,531

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Solution

The fourth proportional to 5,609, 8,417.10 and 2,531 is: 3,798.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609 : 8,417.10 = 2,531 : x
  2. Step 2: Convert to fraction form
    5,609/8,417.10 = 2,531/x
  3. Step 3: Cross multiply
    5,609x = 8,417.10 × 2,531
  4. Step 4: Simplify right side
    5,609x = 21,303,680.10
  5. Step 5: Solve for x
    x = 21,303,680.10/5,609
  6. Step 6: Final answer
    x = 3,798.12

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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.