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Finding the Fourth Proportional to 3,597.92, 5,396.16 and 1,000.16

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Solution

The fourth proportional to 3,597.92, 5,396.16 and 1,000.16 is: 1,500.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.92 : 5,396.16 = 1,000.16 : x
  2. Step 2: Convert to fraction form
    3,597.92/5,396.16 = 1,000.16/x
  3. Step 3: Cross multiply
    3,597.92x = 5,396.16 × 1,000.16
  4. Step 4: Simplify right side
    3,597.92x = 5,397,023.39
  5. Step 5: Solve for x
    x = 5,397,023.39/3,597.92
  6. Step 6: Final answer
    x = 1,500.04

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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.