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Finding the Fourth Proportional to 5,683.72, 7,842.16 and 3,199.72

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Solution

The fourth proportional to 5,683.72, 7,842.16 and 3,199.72 is: 4,414.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.72 : 7,842.16 = 3,199.72 : x
  2. Step 2: Convert to fraction form
    5,683.72/7,842.16 = 3,199.72/x
  3. Step 3: Cross multiply
    5,683.72x = 7,842.16 × 3,199.72
  4. Step 4: Simplify right side
    5,683.72x = 25,092,716.20
  5. Step 5: Solve for x
    x = 25,092,716.20/5,683.72
  6. Step 6: Final answer
    x = 4,414.84

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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.