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Finding the Fourth Proportional to 4,311.56, 5,949.56 and 2,397.44

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Solution

The fourth proportional to 4,311.56, 5,949.56 and 2,397.44 is: 3,308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.56 : 5,949.56 = 2,397.44 : x
  2. Step 2: Convert to fraction form
    4,311.56/5,949.56 = 2,397.44/x
  3. Step 3: Cross multiply
    4,311.56x = 5,949.56 × 2,397.44
  4. Step 4: Simplify right side
    4,311.56x = 14,263,713.13
  5. Step 5: Solve for x
    x = 14,263,713.13/4,311.56
  6. Step 6: Final answer
    x = 3,308.25

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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.