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Finding the Fourth Proportional to 5,249.24, 7,873.86 and 4,928.48

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Solution

The fourth proportional to 5,249.24, 7,873.86 and 4,928.48 is: 7,392.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.24 : 7,873.86 = 4,928.48 : x
  2. Step 2: Convert to fraction form
    5,249.24/7,873.86 = 4,928.48/x
  3. Step 3: Cross multiply
    5,249.24x = 7,873.86 × 4,928.48
  4. Step 4: Simplify right side
    5,249.24x = 38,806,134.48
  5. Step 5: Solve for x
    x = 38,806,134.48/5,249.24
  6. Step 6: Final answer
    x = 7,392.72

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1.5x scale

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.