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Finding the Fourth Proportional to 3,965.48, 5,947.88 and 1,500.32

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Solution

The fourth proportional to 3,965.48, 5,947.88 and 1,500.32 is: 2,250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.48 : 5,947.88 = 1,500.32 : x
  2. Step 2: Convert to fraction form
    3,965.48/5,947.88 = 1,500.32/x
  3. Step 3: Cross multiply
    3,965.48x = 5,947.88 × 1,500.32
  4. Step 4: Simplify right side
    3,965.48x = 8,923,739.13
  5. Step 5: Solve for x
    x = 8,923,739.13/3,965.48
  6. Step 6: Final answer
    x = 2,250.35

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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.