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Finding the Fourth Proportional to 3,779.70, 5,663.76 and 2,542.53

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Solution

The fourth proportional to 3,779.70, 5,663.76 and 2,542.53 is: 3,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.70 : 5,663.76 = 2,542.53 : x
  2. Step 2: Convert to fraction form
    3,779.70/5,663.76 = 2,542.53/x
  3. Step 3: Cross multiply
    3,779.70x = 5,663.76 × 2,542.53
  4. Step 4: Simplify right side
    3,779.70x = 14,400,279.71
  5. Step 5: Solve for x
    x = 14,400,279.71/3,779.70
  6. Step 6: Final answer
    x = 3,809.90

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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.