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Finding the Fourth Proportional to 5,389.49, 8,084.49 and 1,691.75

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Solution

The fourth proportional to 5,389.49, 8,084.49 and 1,691.75 is: 2,537.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.49 : 8,084.49 = 1,691.75 : x
  2. Step 2: Convert to fraction form
    5,389.49/8,084.49 = 1,691.75/x
  3. Step 3: Cross multiply
    5,389.49x = 8,084.49 × 1,691.75
  4. Step 4: Simplify right side
    5,389.49x = 13,676,935.96
  5. Step 5: Solve for x
    x = 13,676,935.96/5,389.49
  6. Step 6: Final answer
    x = 2,537.71

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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.