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Finding the Fourth Proportional to 3,712.78, 5,123.58 and 2,141.14

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Solution

The fourth proportional to 3,712.78, 5,123.58 and 2,141.14 is: 2,954.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.78 : 5,123.58 = 2,141.14 : x
  2. Step 2: Convert to fraction form
    3,712.78/5,123.58 = 2,141.14/x
  3. Step 3: Cross multiply
    3,712.78x = 5,123.58 × 2,141.14
  4. Step 4: Simplify right side
    3,712.78x = 10,970,302.08
  5. Step 5: Solve for x
    x = 10,970,302.08/3,712.78
  6. Step 6: Final answer
    x = 2,954.74

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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.