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Finding the Fourth Proportional to 3,812.91, 5,714.16 and 2,332.64

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Solution

The fourth proportional to 3,812.91, 5,714.16 and 2,332.64 is: 3,495.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.91 : 5,714.16 = 2,332.64 : x
  2. Step 2: Convert to fraction form
    3,812.91/5,714.16 = 2,332.64/x
  3. Step 3: Cross multiply
    3,812.91x = 5,714.16 × 2,332.64
  4. Step 4: Simplify right side
    3,812.91x = 13,329,092.47
  5. Step 5: Solve for x
    x = 13,329,092.47/3,812.91
  6. Step 6: Final answer
    x = 3,495.78

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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.