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Finding the Fourth Proportional to 4,472.62, 6,172.14 and 2,584.18

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Solution

The fourth proportional to 4,472.62, 6,172.14 and 2,584.18 is: 3,566.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.62 : 6,172.14 = 2,584.18 : x
  2. Step 2: Convert to fraction form
    4,472.62/6,172.14 = 2,584.18/x
  3. Step 3: Cross multiply
    4,472.62x = 6,172.14 × 2,584.18
  4. Step 4: Simplify right side
    4,472.62x = 15,949,920.75
  5. Step 5: Solve for x
    x = 15,949,920.75/4,472.62
  6. Step 6: Final answer
    x = 3,566.12

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