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Finding the Fourth Proportional to 3,989.77, 5,987.15 and 1,524.80

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Solution

The fourth proportional to 3,989.77, 5,987.15 and 1,524.80 is: 2,288.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.77 : 5,987.15 = 1,524.80 : x
  2. Step 2: Convert to fraction form
    3,989.77/5,987.15 = 1,524.80/x
  3. Step 3: Cross multiply
    3,989.77x = 5,987.15 × 1,524.80
  4. Step 4: Simplify right side
    3,989.77x = 9,129,206.32
  5. Step 5: Solve for x
    x = 9,129,206.32/3,989.77
  6. Step 6: Final answer
    x = 2,288.15

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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.