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Finding the Fourth Proportional to 5,770.29, 8,658.17 and 3,434.91

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Solution

The fourth proportional to 5,770.29, 8,658.17 and 3,434.91 is: 5,153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.29 : 8,658.17 = 3,434.91 : x
  2. Step 2: Convert to fraction form
    5,770.29/8,658.17 = 3,434.91/x
  3. Step 3: Cross multiply
    5,770.29x = 8,658.17 × 3,434.91
  4. Step 4: Simplify right side
    5,770.29x = 29,740,034.71
  5. Step 5: Solve for x
    x = 29,740,034.71/5,770.29
  6. Step 6: Final answer
    x = 5,153.99

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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.