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Finding the Fourth Proportional to 3,172.47, 4,759.10 and 981.38

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Solution

The fourth proportional to 3,172.47, 4,759.10 and 981.38 is: 1,472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.47 : 4,759.10 = 981.38 : x
  2. Step 2: Convert to fraction form
    3,172.47/4,759.10 = 981.38/x
  3. Step 3: Cross multiply
    3,172.47x = 4,759.10 × 981.38
  4. Step 4: Simplify right side
    3,172.47x = 4,670,456.86
  5. Step 5: Solve for x
    x = 4,670,456.86/3,172.47
  6. Step 6: Final answer
    x = 1,472.18

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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.