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Finding the Fourth Proportional to 5,687.34, 8,528.42 and 2,398.64

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Solution

The fourth proportional to 5,687.34, 8,528.42 and 2,398.64 is: 3,596.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.34 : 8,528.42 = 2,398.64 : x
  2. Step 2: Convert to fraction form
    5,687.34/8,528.42 = 2,398.64/x
  3. Step 3: Cross multiply
    5,687.34x = 8,528.42 × 2,398.64
  4. Step 4: Simplify right side
    5,687.34x = 20,456,609.35
  5. Step 5: Solve for x
    x = 20,456,609.35/5,687.34
  6. Step 6: Final answer
    x = 3,596.87

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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.