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Finding the Fourth Proportional to 3,972.46, 5,959.72 and 1,507.32

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Solution

The fourth proportional to 3,972.46, 5,959.72 and 1,507.32 is: 2,261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.46 : 5,959.72 = 1,507.32 : x
  2. Step 2: Convert to fraction form
    3,972.46/5,959.72 = 1,507.32/x
  3. Step 3: Cross multiply
    3,972.46x = 5,959.72 × 1,507.32
  4. Step 4: Simplify right side
    3,972.46x = 8,983,205.15
  5. Step 5: Solve for x
    x = 8,983,205.15/3,972.46
  6. Step 6: Final answer
    x = 2,261.37

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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.