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Finding the Fourth Proportional to 5,358.34, 8,038.27 and 1,660.85

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Solution

The fourth proportional to 5,358.34, 8,038.27 and 1,660.85 is: 2,491.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.34 : 8,038.27 = 1,660.85 : x
  2. Step 2: Convert to fraction form
    5,358.34/8,038.27 = 1,660.85/x
  3. Step 3: Cross multiply
    5,358.34x = 8,038.27 × 1,660.85
  4. Step 4: Simplify right side
    5,358.34x = 13,350,397.97
  5. Step 5: Solve for x
    x = 13,350,397.97/5,358.34
  6. Step 6: Final answer
    x = 2,491.52

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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.