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Finding the Fourth Proportional to 5,687.60, 7,849.34 and 3,170.52

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Solution

The fourth proportional to 5,687.60, 7,849.34 and 3,170.52 is: 4,375.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.60 : 7,849.34 = 3,170.52 : x
  2. Step 2: Convert to fraction form
    5,687.60/7,849.34 = 3,170.52/x
  3. Step 3: Cross multiply
    5,687.60x = 7,849.34 × 3,170.52
  4. Step 4: Simplify right side
    5,687.60x = 24,886,485.49
  5. Step 5: Solve for x
    x = 24,886,485.49/5,687.60
  6. Step 6: Final answer
    x = 4,375.57

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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.