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Finding the Fourth Proportional to 6,151.74, 8,489.71 and 3,499.73

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Solution

The fourth proportional to 6,151.74, 8,489.71 and 3,499.73 is: 4,829.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.74 : 8,489.71 = 3,499.73 : x
  2. Step 2: Convert to fraction form
    6,151.74/8,489.71 = 3,499.73/x
  3. Step 3: Cross multiply
    6,151.74x = 8,489.71 × 3,499.73
  4. Step 4: Simplify right side
    6,151.74x = 29,711,692.78
  5. Step 5: Solve for x
    x = 29,711,692.78/6,151.74
  6. Step 6: Final answer
    x = 4,829.80

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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.