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Finding the Fourth Proportional to 3,755.43, 5,635.71 and 1,564.20

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Solution

The fourth proportional to 3,755.43, 5,635.71 and 1,564.20 is: 2,347.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.43 : 5,635.71 = 1,564.20 : x
  2. Step 2: Convert to fraction form
    3,755.43/5,635.71 = 1,564.20/x
  3. Step 3: Cross multiply
    3,755.43x = 5,635.71 × 1,564.20
  4. Step 4: Simplify right side
    3,755.43x = 8,815,377.58
  5. Step 5: Solve for x
    x = 8,815,377.58/3,755.43
  6. Step 6: Final answer
    x = 2,347.37

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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.