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Finding the Fourth Proportional to 5,286.06, 7,294.86 and 3,191.40

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Solution

The fourth proportional to 5,286.06, 7,294.86 and 3,191.40 is: 4,404.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.06 : 7,294.86 = 3,191.40 : x
  2. Step 2: Convert to fraction form
    5,286.06/7,294.86 = 3,191.40/x
  3. Step 3: Cross multiply
    5,286.06x = 7,294.86 × 3,191.40
  4. Step 4: Simplify right side
    5,286.06x = 23,280,816.20
  5. Step 5: Solve for x
    x = 23,280,816.20/5,286.06
  6. Step 6: Final answer
    x = 4,404.19

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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.