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Finding the Fourth Proportional to 5,288.52, 7,934.02 and 2,822.04

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Solution

The fourth proportional to 5,288.52, 7,934.02 and 2,822.04 is: 4,233.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.52 : 7,934.02 = 2,822.04 : x
  2. Step 2: Convert to fraction form
    5,288.52/7,934.02 = 2,822.04/x
  3. Step 3: Cross multiply
    5,288.52x = 7,934.02 × 2,822.04
  4. Step 4: Simplify right side
    5,288.52x = 22,390,121.80
  5. Step 5: Solve for x
    x = 22,390,121.80/5,288.52
  6. Step 6: Final answer
    x = 4,233.72

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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.