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Finding the Fourth Proportional to 5,697.96, 8,552.42 and 2,778.32

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Solution

The fourth proportional to 5,697.96, 8,552.42 and 2,778.32 is: 4,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.96 : 8,552.42 = 2,778.32 : x
  2. Step 2: Convert to fraction form
    5,697.96/8,552.42 = 2,778.32/x
  3. Step 3: Cross multiply
    5,697.96x = 8,552.42 × 2,778.32
  4. Step 4: Simplify right side
    5,697.96x = 23,761,302.88
  5. Step 5: Solve for x
    x = 23,761,302.88/5,697.96
  6. Step 6: Final answer
    x = 4,170.14

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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.