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Finding the Fourth Proportional to 6,519.71, 9,770.19 and 3,710.79

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Solution

The fourth proportional to 6,519.71, 9,770.19 and 3,710.79 is: 5,560.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.71 : 9,770.19 = 3,710.79 : x
  2. Step 2: Convert to fraction form
    6,519.71/9,770.19 = 3,710.79/x
  3. Step 3: Cross multiply
    6,519.71x = 9,770.19 × 3,710.79
  4. Step 4: Simplify right side
    6,519.71x = 36,255,123.35
  5. Step 5: Solve for x
    x = 36,255,123.35/6,519.71
  6. Step 6: Final answer
    x = 5,560.85

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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.