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Finding the Fourth Proportional to 4,982.97, 7,472.70 and 1,472.04

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Solution

The fourth proportional to 4,982.97, 7,472.70 and 1,472.04 is: 2,207.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.97 : 7,472.70 = 1,472.04 : x
  2. Step 2: Convert to fraction form
    4,982.97/7,472.70 = 1,472.04/x
  3. Step 3: Cross multiply
    4,982.97x = 7,472.70 × 1,472.04
  4. Step 4: Simplify right side
    4,982.97x = 11,000,068.58
  5. Step 5: Solve for x
    x = 11,000,068.58/4,982.97
  6. Step 6: Final answer
    x = 2,207.53

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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.