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Finding the Fourth Proportional to 5,902.32, 8,811.18 and 5,697.12

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Solution

The fourth proportional to 5,902.32, 8,811.18 and 5,697.12 is: 8,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.32 : 8,811.18 = 5,697.12 : x
  2. Step 2: Convert to fraction form
    5,902.32/8,811.18 = 5,697.12/x
  3. Step 3: Cross multiply
    5,902.32x = 8,811.18 × 5,697.12
  4. Step 4: Simplify right side
    5,902.32x = 50,198,349.80
  5. Step 5: Solve for x
    x = 50,198,349.80/5,902.32
  6. Step 6: Final answer
    x = 8,504.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.