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Finding the Fourth Proportional to 5,463.42, 8,193.60 and 1,566.78

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Solution

The fourth proportional to 5,463.42, 8,193.60 and 1,566.78 is: 2,349.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.42 : 8,193.60 = 1,566.78 : x
  2. Step 2: Convert to fraction form
    5,463.42/8,193.60 = 1,566.78/x
  3. Step 3: Cross multiply
    5,463.42x = 8,193.60 × 1,566.78
  4. Step 4: Simplify right side
    5,463.42x = 12,837,568.61
  5. Step 5: Solve for x
    x = 12,837,568.61/5,463.42
  6. Step 6: Final answer
    x = 2,349.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.