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Finding the Fourth Proportional to 5,711.52, 8,576.58 and 3,534.12

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Solution

The fourth proportional to 5,711.52, 8,576.58 and 3,534.12 is: 5,306.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.52 : 8,576.58 = 3,534.12 : x
  2. Step 2: Convert to fraction form
    5,711.52/8,576.58 = 3,534.12/x
  3. Step 3: Cross multiply
    5,711.52x = 8,576.58 × 3,534.12
  4. Step 4: Simplify right side
    5,711.52x = 30,310,662.91
  5. Step 5: Solve for x
    x = 30,310,662.91/5,711.52
  6. Step 6: Final answer
    x = 5,306.93

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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.