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Finding the Fourth Proportional to 2,996.47, 4,490.65 and 2,347.39

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Solution

The fourth proportional to 2,996.47, 4,490.65 and 2,347.39 is: 3,517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.47 : 4,490.65 = 2,347.39 : x
  2. Step 2: Convert to fraction form
    2,996.47/4,490.65 = 2,347.39/x
  3. Step 3: Cross multiply
    2,996.47x = 4,490.65 × 2,347.39
  4. Step 4: Simplify right side
    2,996.47x = 10,541,306.90
  5. Step 5: Solve for x
    x = 10,541,306.90/2,996.47
  6. Step 6: Final answer
    x = 3,517.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.