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Finding the Fourth Proportional to 4,099, 5,656.74 and 2,236.12

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Solution

The fourth proportional to 4,099, 5,656.74 and 2,236.12 is: 3,085.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099 : 5,656.74 = 2,236.12 : x
  2. Step 2: Convert to fraction form
    4,099/5,656.74 = 2,236.12/x
  3. Step 3: Cross multiply
    4,099x = 5,656.74 × 2,236.12
  4. Step 4: Simplify right side
    4,099x = 12,649,149.45
  5. Step 5: Solve for x
    x = 12,649,149.45/4,099
  6. Step 6: Final answer
    x = 3,085.91

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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.