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Finding the Fourth Proportional to 5,687.70, 8,523.35 and 3,342.15

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Solution

The fourth proportional to 5,687.70, 8,523.35 and 3,342.15 is: 5,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.70 : 8,523.35 = 3,342.15 : x
  2. Step 2: Convert to fraction form
    5,687.70/8,523.35 = 3,342.15/x
  3. Step 3: Cross multiply
    5,687.70x = 8,523.35 × 3,342.15
  4. Step 4: Simplify right side
    5,687.70x = 28,486,297.49
  5. Step 5: Solve for x
    x = 28,486,297.49/5,687.70
  6. Step 6: Final answer
    x = 5,008.40

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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.