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Finding the Fourth Proportional to 3,989.28, 5,980.24 and 2,524

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Solution

The fourth proportional to 3,989.28, 5,980.24 and 2,524 is: 3,783.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.28 : 5,980.24 = 2,524 : x
  2. Step 2: Convert to fraction form
    3,989.28/5,980.24 = 2,524/x
  3. Step 3: Cross multiply
    3,989.28x = 5,980.24 × 2,524
  4. Step 4: Simplify right side
    3,989.28x = 15,094,125.76
  5. Step 5: Solve for x
    x = 15,094,125.76/3,989.28
  6. Step 6: Final answer
    x = 3,783.67

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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.