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Finding the Fourth Proportional to 3,759.92, 5,630.16 and 3,342

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Solution

The fourth proportional to 3,759.92, 5,630.16 and 3,342 is: 5,004.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.92 : 5,630.16 = 3,342 : x
  2. Step 2: Convert to fraction form
    3,759.92/5,630.16 = 3,342/x
  3. Step 3: Cross multiply
    3,759.92x = 5,630.16 × 3,342
  4. Step 4: Simplify right side
    3,759.92x = 18,815,994.72
  5. Step 5: Solve for x
    x = 18,815,994.72/3,759.92
  6. Step 6: Final answer
    x = 5,004.36

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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.