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Finding the Fourth Proportional to 5,400, 8,094.24 and 2,799.36

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Solution

The fourth proportional to 5,400, 8,094.24 and 2,799.36 is: 4,196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400 : 8,094.24 = 2,799.36 : x
  2. Step 2: Convert to fraction form
    5,400/8,094.24 = 2,799.36/x
  3. Step 3: Cross multiply
    5,400x = 8,094.24 × 2,799.36
  4. Step 4: Simplify right side
    5,400x = 22,658,691.69
  5. Step 5: Solve for x
    x = 22,658,691.69/5,400
  6. Step 6: Final answer
    x = 4,196.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.