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Finding the Fourth Proportional to 5,306.52, 7,945.20 and 4,004.04

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Solution

The fourth proportional to 5,306.52, 7,945.20 and 4,004.04 is: 5,995.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.52 : 7,945.20 = 4,004.04 : x
  2. Step 2: Convert to fraction form
    5,306.52/7,945.20 = 4,004.04/x
  3. Step 3: Cross multiply
    5,306.52x = 7,945.20 × 4,004.04
  4. Step 4: Simplify right side
    5,306.52x = 31,812,898.61
  5. Step 5: Solve for x
    x = 31,812,898.61/5,306.52
  6. Step 6: Final answer
    x = 5,995.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.