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Finding the Fourth Proportional to 3,989.59, 5,978.91 and 2,037.70

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Solution

The fourth proportional to 3,989.59, 5,978.91 and 2,037.70 is: 3,053.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.59 : 5,978.91 = 2,037.70 : x
  2. Step 2: Convert to fraction form
    3,989.59/5,978.91 = 2,037.70/x
  3. Step 3: Cross multiply
    3,989.59x = 5,978.91 × 2,037.70
  4. Step 4: Simplify right side
    3,989.59x = 12,183,224.91
  5. Step 5: Solve for x
    x = 12,183,224.91/3,989.59
  6. Step 6: Final answer
    x = 3,053.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.