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Finding the Fourth Proportional to 4,781.50, 7,171.23 and 2,007.46

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Solution

The fourth proportional to 4,781.50, 7,171.23 and 2,007.46 is: 3,010.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.50 : 7,171.23 = 2,007.46 : x
  2. Step 2: Convert to fraction form
    4,781.50/7,171.23 = 2,007.46/x
  3. Step 3: Cross multiply
    4,781.50x = 7,171.23 × 2,007.46
  4. Step 4: Simplify right side
    4,781.50x = 14,395,957.38
  5. Step 5: Solve for x
    x = 14,395,957.38/4,781.50
  6. Step 6: Final answer
    x = 3,010.76

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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.