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Finding the Fourth Proportional to 5,348, 8,023.60 and 2,270.24

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Solution

The fourth proportional to 5,348, 8,023.60 and 2,270.24 is: 3,406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348 : 8,023.60 = 2,270.24 : x
  2. Step 2: Convert to fraction form
    5,348/8,023.60 = 2,270.24/x
  3. Step 3: Cross multiply
    5,348x = 8,023.60 × 2,270.24
  4. Step 4: Simplify right side
    5,348x = 18,215,497.66
  5. Step 5: Solve for x
    x = 18,215,497.66/5,348
  6. Step 6: Final answer
    x = 3,406.04

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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.