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Finding the Fourth Proportional to 5,902.44, 8,843.92 and 3,430.32

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Solution

The fourth proportional to 5,902.44, 8,843.92 and 3,430.32 is: 5,139.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.44 : 8,843.92 = 3,430.32 : x
  2. Step 2: Convert to fraction form
    5,902.44/8,843.92 = 3,430.32/x
  3. Step 3: Cross multiply
    5,902.44x = 8,843.92 × 3,430.32
  4. Step 4: Simplify right side
    5,902.44x = 30,337,475.65
  5. Step 5: Solve for x
    x = 30,337,475.65/5,902.44
  6. Step 6: Final answer
    x = 5,139.82

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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.