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Finding the Fourth Proportional to 3,712.88, 5,123.04 and 2,141.48

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Solution

The fourth proportional to 3,712.88, 5,123.04 and 2,141.48 is: 2,954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.88 : 5,123.04 = 2,141.48 : x
  2. Step 2: Convert to fraction form
    3,712.88/5,123.04 = 2,141.48/x
  3. Step 3: Cross multiply
    3,712.88x = 5,123.04 × 2,141.48
  4. Step 4: Simplify right side
    3,712.88x = 10,970,887.70
  5. Step 5: Solve for x
    x = 10,970,887.70/3,712.88
  6. Step 6: Final answer
    x = 2,954.82

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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.