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Finding the Fourth Proportional to 3,342.04, 5,013.28 and 876.92

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Solution

The fourth proportional to 3,342.04, 5,013.28 and 876.92 is: 1,315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.04 : 5,013.28 = 876.92 : x
  2. Step 2: Convert to fraction form
    3,342.04/5,013.28 = 876.92/x
  3. Step 3: Cross multiply
    3,342.04x = 5,013.28 × 876.92
  4. Step 4: Simplify right side
    3,342.04x = 4,396,245.50
  5. Step 5: Solve for x
    x = 4,396,245.50/3,342.04
  6. Step 6: Final answer
    x = 1,315.44

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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.