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Finding the Fourth Proportional to 4,123.62, 5,693.01 and 2,709.56

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Solution

The fourth proportional to 4,123.62, 5,693.01 and 2,709.56 is: 3,740.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.62 : 5,693.01 = 2,709.56 : x
  2. Step 2: Convert to fraction form
    4,123.62/5,693.01 = 2,709.56/x
  3. Step 3: Cross multiply
    4,123.62x = 5,693.01 × 2,709.56
  4. Step 4: Simplify right side
    4,123.62x = 15,425,552.18
  5. Step 5: Solve for x
    x = 15,425,552.18/4,123.62
  6. Step 6: Final answer
    x = 3,740.78

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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.