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Finding the Fourth Proportional to 3,989.87, 5,985.42 and 1,392.20

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Solution

The fourth proportional to 3,989.87, 5,985.42 and 1,392.20 is: 2,088.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.87 : 5,985.42 = 1,392.20 : x
  2. Step 2: Convert to fraction form
    3,989.87/5,985.42 = 1,392.20/x
  3. Step 3: Cross multiply
    3,989.87x = 5,985.42 × 1,392.20
  4. Step 4: Simplify right side
    3,989.87x = 8,332,901.72
  5. Step 5: Solve for x
    x = 8,332,901.72/3,989.87
  6. Step 6: Final answer
    x = 2,088.51

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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.