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Finding the Fourth Proportional to 6,151.86, 8,489.61 and 3,499.29

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Solution

The fourth proportional to 6,151.86, 8,489.61 and 3,499.29 is: 4,829.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.86 : 8,489.61 = 3,499.29 : x
  2. Step 2: Convert to fraction form
    6,151.86/8,489.61 = 3,499.29/x
  3. Step 3: Cross multiply
    6,151.86x = 8,489.61 × 3,499.29
  4. Step 4: Simplify right side
    6,151.86x = 29,707,607.38
  5. Step 5: Solve for x
    x = 29,707,607.38/6,151.86
  6. Step 6: Final answer
    x = 4,829.04

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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.