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Finding the Fourth Proportional to 3,695.78, 5,100.18 and 2,123.75

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Solution

The fourth proportional to 3,695.78, 5,100.18 and 2,123.75 is: 2,930.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.78 : 5,100.18 = 2,123.75 : x
  2. Step 2: Convert to fraction form
    3,695.78/5,100.18 = 2,123.75/x
  3. Step 3: Cross multiply
    3,695.78x = 5,100.18 × 2,123.75
  4. Step 4: Simplify right side
    3,695.78x = 10,831,507.28
  5. Step 5: Solve for x
    x = 10,831,507.28/3,695.78
  6. Step 6: Final answer
    x = 2,930.78

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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.