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Finding the Fourth Proportional to 6,491.29, 8,957.98 and 3,507.13

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Solution

The fourth proportional to 6,491.29, 8,957.98 and 3,507.13 is: 4,839.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.29 : 8,957.98 = 3,507.13 : x
  2. Step 2: Convert to fraction form
    6,491.29/8,957.98 = 3,507.13/x
  3. Step 3: Cross multiply
    6,491.29x = 8,957.98 × 3,507.13
  4. Step 4: Simplify right side
    6,491.29x = 31,416,764.38
  5. Step 5: Solve for x
    x = 31,416,764.38/6,491.29
  6. Step 6: Final answer
    x = 4,839.83

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Why These Related Problems?

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