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Finding the Fourth Proportional to 5,493.92, 8,240.96 and 1,597.44

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Solution

The fourth proportional to 5,493.92, 8,240.96 and 1,597.44 is: 2,396.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.92 : 8,240.96 = 1,597.44 : x
  2. Step 2: Convert to fraction form
    5,493.92/8,240.96 = 1,597.44/x
  3. Step 3: Cross multiply
    5,493.92x = 8,240.96 × 1,597.44
  4. Step 4: Simplify right side
    5,493.92x = 13,164,439.14
  5. Step 5: Solve for x
    x = 13,164,439.14/5,493.92
  6. Step 6: Final answer
    x = 2,396.18

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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.