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Finding the Fourth Proportional to 5,747.68, 7,932 and 3,651.76

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Solution

The fourth proportional to 5,747.68, 7,932 and 3,651.76 is: 5,039.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.68 : 7,932 = 3,651.76 : x
  2. Step 2: Convert to fraction form
    5,747.68/7,932 = 3,651.76/x
  3. Step 3: Cross multiply
    5,747.68x = 7,932 × 3,651.76
  4. Step 4: Simplify right side
    5,747.68x = 28,965,760.32
  5. Step 5: Solve for x
    x = 28,965,760.32/5,747.68
  6. Step 6: Final answer
    x = 5,039.56

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1.5x scale

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.