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Finding the Fourth Proportional to 5,687.67, 8,532.41 and 2,401.24

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Solution

The fourth proportional to 5,687.67, 8,532.41 and 2,401.24 is: 3,602.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.67 : 8,532.41 = 2,401.24 : x
  2. Step 2: Convert to fraction form
    5,687.67/8,532.41 = 2,401.24/x
  3. Step 3: Cross multiply
    5,687.67x = 8,532.41 × 2,401.24
  4. Step 4: Simplify right side
    5,687.67x = 20,488,364.19
  5. Step 5: Solve for x
    x = 20,488,364.19/5,687.67
  6. Step 6: Final answer
    x = 3,602.24

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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.