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Finding the Fourth Proportional to 4,498.92, 6,747.84 and 1,901.34

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Solution

The fourth proportional to 4,498.92, 6,747.84 and 1,901.34 is: 2,851.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.92 : 6,747.84 = 1,901.34 : x
  2. Step 2: Convert to fraction form
    4,498.92/6,747.84 = 1,901.34/x
  3. Step 3: Cross multiply
    4,498.92x = 6,747.84 × 1,901.34
  4. Step 4: Simplify right side
    4,498.92x = 12,829,938.11
  5. Step 5: Solve for x
    x = 12,829,938.11/4,498.92
  6. Step 6: Final answer
    x = 2,851.78

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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.