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Finding the Fourth Proportional to 5,728, 8,593.62 and 2,441.74

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Solution

The fourth proportional to 5,728, 8,593.62 and 2,441.74 is: 3,663.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728 : 8,593.62 = 2,441.74 : x
  2. Step 2: Convert to fraction form
    5,728/8,593.62 = 2,441.74/x
  3. Step 3: Cross multiply
    5,728x = 8,593.62 × 2,441.74
  4. Step 4: Simplify right side
    5,728x = 20,983,385.70
  5. Step 5: Solve for x
    x = 20,983,385.70/5,728
  6. Step 6: Final answer
    x = 3,663.30

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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.