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Finding the Fourth Proportional to 4,213.68, 6,322.16 and 1,747.88

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Solution

The fourth proportional to 4,213.68, 6,322.16 and 1,747.88 is: 2,622.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.68 : 6,322.16 = 1,747.88 : x
  2. Step 2: Convert to fraction form
    4,213.68/6,322.16 = 1,747.88/x
  3. Step 3: Cross multiply
    4,213.68x = 6,322.16 × 1,747.88
  4. Step 4: Simplify right side
    4,213.68x = 11,050,377.02
  5. Step 5: Solve for x
    x = 11,050,377.02/4,213.68
  6. Step 6: Final answer
    x = 2,622.50

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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.