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Finding the Fourth Proportional to 5,202.28, 7,805.39 and 3,123.74

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Solution

The fourth proportional to 5,202.28, 7,805.39 and 3,123.74 is: 4,686.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.28 : 7,805.39 = 3,123.74 : x
  2. Step 2: Convert to fraction form
    5,202.28/7,805.39 = 3,123.74/x
  3. Step 3: Cross multiply
    5,202.28x = 7,805.39 × 3,123.74
  4. Step 4: Simplify right side
    5,202.28x = 24,381,977.74
  5. Step 5: Solve for x
    x = 24,381,977.74/5,202.28
  6. Step 6: Final answer
    x = 4,686.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.