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Finding the Fourth Proportional to 5,709.60, 7,874.70 and 3,471.42

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Solution

The fourth proportional to 5,709.60, 7,874.70 and 3,471.42 is: 4,787.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.60 : 7,874.70 = 3,471.42 : x
  2. Step 2: Convert to fraction form
    5,709.60/7,874.70 = 3,471.42/x
  3. Step 3: Cross multiply
    5,709.60x = 7,874.70 × 3,471.42
  4. Step 4: Simplify right side
    5,709.60x = 27,336,391.07
  5. Step 5: Solve for x
    x = 27,336,391.07/5,709.60
  6. Step 6: Final answer
    x = 4,787.79

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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.