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Finding the Fourth Proportional to 4,332.62, 6,497.69 and 1,411.17

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Solution

The fourth proportional to 4,332.62, 6,497.69 and 1,411.17 is: 2,116.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.62 : 6,497.69 = 1,411.17 : x
  2. Step 2: Convert to fraction form
    4,332.62/6,497.69 = 1,411.17/x
  3. Step 3: Cross multiply
    4,332.62x = 6,497.69 × 1,411.17
  4. Step 4: Simplify right side
    4,332.62x = 9,169,338.14
  5. Step 5: Solve for x
    x = 9,169,338.14/4,332.62
  6. Step 6: Final answer
    x = 2,116.35

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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.