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Finding the Fourth Proportional to 3,691.32, 5,535.90 and 3,040.44

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Solution

The fourth proportional to 3,691.32, 5,535.90 and 3,040.44 is: 4,559.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.32 : 5,535.90 = 3,040.44 : x
  2. Step 2: Convert to fraction form
    3,691.32/5,535.90 = 3,040.44/x
  3. Step 3: Cross multiply
    3,691.32x = 5,535.90 × 3,040.44
  4. Step 4: Simplify right side
    3,691.32x = 16,831,571.80
  5. Step 5: Solve for x
    x = 16,831,571.80/3,691.32
  6. Step 6: Final answer
    x = 4,559.77

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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.