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Finding the Fourth Proportional to 5,099.28, 7,648.92 and 4,613.28

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Solution

The fourth proportional to 5,099.28, 7,648.92 and 4,613.28 is: 6,919.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.28 : 7,648.92 = 4,613.28 : x
  2. Step 2: Convert to fraction form
    5,099.28/7,648.92 = 4,613.28/x
  3. Step 3: Cross multiply
    5,099.28x = 7,648.92 × 4,613.28
  4. Step 4: Simplify right side
    5,099.28x = 35,286,609.66
  5. Step 5: Solve for x
    x = 35,286,609.66/5,099.28
  6. Step 6: Final answer
    x = 6,919.92

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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.