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Finding the Fourth Proportional to 5,462.30, 8,193.52 and 1,566.71

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Solution

The fourth proportional to 5,462.30, 8,193.52 and 1,566.71 is: 2,350.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.30 : 8,193.52 = 1,566.71 : x
  2. Step 2: Convert to fraction form
    5,462.30/8,193.52 = 1,566.71/x
  3. Step 3: Cross multiply
    5,462.30x = 8,193.52 × 1,566.71
  4. Step 4: Simplify right side
    5,462.30x = 12,836,861.44
  5. Step 5: Solve for x
    x = 12,836,861.44/5,462.30
  6. Step 6: Final answer
    x = 2,350.08

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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.