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Finding the Fourth Proportional to 3,486.39, 5,229.60 and 1,294.53

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Solution

The fourth proportional to 3,486.39, 5,229.60 and 1,294.53 is: 1,941.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.39 : 5,229.60 = 1,294.53 : x
  2. Step 2: Convert to fraction form
    3,486.39/5,229.60 = 1,294.53/x
  3. Step 3: Cross multiply
    3,486.39x = 5,229.60 × 1,294.53
  4. Step 4: Simplify right side
    3,486.39x = 6,769,874.09
  5. Step 5: Solve for x
    x = 6,769,874.09/3,486.39
  6. Step 6: Final answer
    x = 1,941.80

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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.