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Finding the Fourth Proportional to 6,001.92, 9,002.40 and 3,805.80

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Solution

The fourth proportional to 6,001.92, 9,002.40 and 3,805.80 is: 5,708.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001.92 : 9,002.40 = 3,805.80 : x
  2. Step 2: Convert to fraction form
    6,001.92/9,002.40 = 3,805.80/x
  3. Step 3: Cross multiply
    6,001.92x = 9,002.40 × 3,805.80
  4. Step 4: Simplify right side
    6,001.92x = 34,261,333.92
  5. Step 5: Solve for x
    x = 34,261,333.92/6,001.92
  6. Step 6: Final answer
    x = 5,708.40

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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.