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Finding the Fourth Proportional to 5,348.34, 8,023.31 and 1,839.25

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Solution

The fourth proportional to 5,348.34, 8,023.31 and 1,839.25 is: 2,759.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.34 : 8,023.31 = 1,839.25 : x
  2. Step 2: Convert to fraction form
    5,348.34/8,023.31 = 1,839.25/x
  3. Step 3: Cross multiply
    5,348.34x = 8,023.31 × 1,839.25
  4. Step 4: Simplify right side
    5,348.34x = 14,756,873.75
  5. Step 5: Solve for x
    x = 14,756,873.75/5,348.34
  6. Step 6: Final answer
    x = 2,759.15

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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.