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Finding the Fourth Proportional to 3,839.34, 5,298.15 and 2,348.80

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Solution

The fourth proportional to 3,839.34, 5,298.15 and 2,348.80 is: 3,241.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.34 : 5,298.15 = 2,348.80 : x
  2. Step 2: Convert to fraction form
    3,839.34/5,298.15 = 2,348.80/x
  3. Step 3: Cross multiply
    3,839.34x = 5,298.15 × 2,348.80
  4. Step 4: Simplify right side
    3,839.34x = 12,444,294.72
  5. Step 5: Solve for x
    x = 12,444,294.72/3,839.34
  6. Step 6: Final answer
    x = 3,241.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.