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Finding the Fourth Proportional to 5,898.72, 8,132.96 and 5,402.96

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Solution

The fourth proportional to 5,898.72, 8,132.96 and 5,402.96 is: 7,449.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.72 : 8,132.96 = 5,402.96 : x
  2. Step 2: Convert to fraction form
    5,898.72/8,132.96 = 5,402.96/x
  3. Step 3: Cross multiply
    5,898.72x = 8,132.96 × 5,402.96
  4. Step 4: Simplify right side
    5,898.72x = 43,942,057.56
  5. Step 5: Solve for x
    x = 43,942,057.56/5,898.72
  6. Step 6: Final answer
    x = 7,449.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.