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Finding the Fourth Proportional to 4,002.88, 6,004.08 and 1,537.52

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Solution

The fourth proportional to 4,002.88, 6,004.08 and 1,537.52 is: 2,306.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.88 : 6,004.08 = 1,537.52 : x
  2. Step 2: Convert to fraction form
    4,002.88/6,004.08 = 1,537.52/x
  3. Step 3: Cross multiply
    4,002.88x = 6,004.08 × 1,537.52
  4. Step 4: Simplify right side
    4,002.88x = 9,231,393.08
  5. Step 5: Solve for x
    x = 9,231,393.08/4,002.88
  6. Step 6: Final answer
    x = 2,306.19

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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.