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Finding the Fourth Proportional to 5,043.96, 7,572.24 and 3,407.76

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Solution

The fourth proportional to 5,043.96, 7,572.24 and 3,407.76 is: 5,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,043.96 : 7,572.24 = 3,407.76 : x
  2. Step 2: Convert to fraction form
    5,043.96/7,572.24 = 3,407.76/x
  3. Step 3: Cross multiply
    5,043.96x = 7,572.24 × 3,407.76
  4. Step 4: Simplify right side
    5,043.96x = 25,804,376.58
  5. Step 5: Solve for x
    x = 25,804,376.58/5,043.96
  6. Step 6: Final answer
    x = 5,115.90

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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.