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Finding the Fourth Proportional to 5,564.90, 8,342.19 and 2,052.97

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Solution

The fourth proportional to 5,564.90, 8,342.19 and 2,052.97 is: 3,077.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.90 : 8,342.19 = 2,052.97 : x
  2. Step 2: Convert to fraction form
    5,564.90/8,342.19 = 2,052.97/x
  3. Step 3: Cross multiply
    5,564.90x = 8,342.19 × 2,052.97
  4. Step 4: Simplify right side
    5,564.90x = 17,126,265.80
  5. Step 5: Solve for x
    x = 17,126,265.80/5,564.90
  6. Step 6: Final answer
    x = 3,077.55

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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.