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Finding the Fourth Proportional to 3,712.54, 5,123.46 and 2,140.78

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Solution

The fourth proportional to 3,712.54, 5,123.46 and 2,140.78 is: 2,954.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.54 : 5,123.46 = 2,140.78 : x
  2. Step 2: Convert to fraction form
    3,712.54/5,123.46 = 2,140.78/x
  3. Step 3: Cross multiply
    3,712.54x = 5,123.46 × 2,140.78
  4. Step 4: Simplify right side
    3,712.54x = 10,968,200.70
  5. Step 5: Solve for x
    x = 10,968,200.70/3,712.54
  6. Step 6: Final answer
    x = 2,954.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.