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Finding the Fourth Proportional to 3,728.57, 5,593.86 and 3,320.53

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Solution

The fourth proportional to 3,728.57, 5,593.86 and 3,320.53 is: 4,981.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.57 : 5,593.86 = 3,320.53 : x
  2. Step 2: Convert to fraction form
    3,728.57/5,593.86 = 3,320.53/x
  3. Step 3: Cross multiply
    3,728.57x = 5,593.86 × 3,320.53
  4. Step 4: Simplify right side
    3,728.57x = 18,574,565.96
  5. Step 5: Solve for x
    x = 18,574,565.96/3,728.57
  6. Step 6: Final answer
    x = 4,981.69

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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.