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Finding the Fourth Proportional to 5,672.44, 8,505.73 and 2,549.78

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Solution

The fourth proportional to 5,672.44, 8,505.73 and 2,549.78 is: 3,823.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.44 : 8,505.73 = 2,549.78 : x
  2. Step 2: Convert to fraction form
    5,672.44/8,505.73 = 2,549.78/x
  3. Step 3: Cross multiply
    5,672.44x = 8,505.73 × 2,549.78
  4. Step 4: Simplify right side
    5,672.44x = 21,687,740.24
  5. Step 5: Solve for x
    x = 21,687,740.24/5,672.44
  6. Step 6: Final answer
    x = 3,823.35

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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.