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Finding the Fourth Proportional to 5,497.12, 7,585.92 and 3,013.12

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Solution

The fourth proportional to 5,497.12, 7,585.92 and 3,013.12 is: 4,158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.12 : 7,585.92 = 3,013.12 : x
  2. Step 2: Convert to fraction form
    5,497.12/7,585.92 = 3,013.12/x
  3. Step 3: Cross multiply
    5,497.12x = 7,585.92 × 3,013.12
  4. Step 4: Simplify right side
    5,497.12x = 22,857,287.27
  5. Step 5: Solve for x
    x = 22,857,287.27/5,497.12
  6. Step 6: Final answer
    x = 4,158.05

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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.