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Finding the Fourth Proportional to 5,873.12, 8,799.93 and 4,227.20

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Solution

The fourth proportional to 5,873.12, 8,799.93 and 4,227.20 is: 6,333.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.12 : 8,799.93 = 4,227.20 : x
  2. Step 2: Convert to fraction form
    5,873.12/8,799.93 = 4,227.20/x
  3. Step 3: Cross multiply
    5,873.12x = 8,799.93 × 4,227.20
  4. Step 4: Simplify right side
    5,873.12x = 37,199,020.10
  5. Step 5: Solve for x
    x = 37,199,020.10/5,873.12
  6. Step 6: Final answer
    x = 6,333.78

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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.