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Finding the Fourth Proportional to 3,671.44, 5,073.87 and 3,007.24

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Solution

The fourth proportional to 3,671.44, 5,073.87 and 3,007.24 is: 4,155.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.44 : 5,073.87 = 3,007.24 : x
  2. Step 2: Convert to fraction form
    3,671.44/5,073.87 = 3,007.24/x
  3. Step 3: Cross multiply
    3,671.44x = 5,073.87 × 3,007.24
  4. Step 4: Simplify right side
    3,671.44x = 15,258,344.82
  5. Step 5: Solve for x
    x = 15,258,344.82/3,671.44
  6. Step 6: Final answer
    x = 4,155.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.