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Finding the Fourth Proportional to 3,648.92, 5,475.54 and 1,342.04

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Solution

The fourth proportional to 3,648.92, 5,475.54 and 1,342.04 is: 2,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.92 : 5,475.54 = 1,342.04 : x
  2. Step 2: Convert to fraction form
    3,648.92/5,475.54 = 1,342.04/x
  3. Step 3: Cross multiply
    3,648.92x = 5,475.54 × 1,342.04
  4. Step 4: Simplify right side
    3,648.92x = 7,348,393.70
  5. Step 5: Solve for x
    x = 7,348,393.70/3,648.92
  6. Step 6: Final answer
    x = 2,013.85

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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.