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Finding the Fourth Proportional to 5,609.68, 7,741.10 and 3,217.98

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Solution

The fourth proportional to 5,609.68, 7,741.10 and 3,217.98 is: 4,440.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.68 : 7,741.10 = 3,217.98 : x
  2. Step 2: Convert to fraction form
    5,609.68/7,741.10 = 3,217.98/x
  3. Step 3: Cross multiply
    5,609.68x = 7,741.10 × 3,217.98
  4. Step 4: Simplify right side
    5,609.68x = 24,910,704.98
  5. Step 5: Solve for x
    x = 24,910,704.98/5,609.68
  6. Step 6: Final answer
    x = 4,440.66

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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.