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Finding the Fourth Proportional to 5,286.07, 7,931.84 and 2,689

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Solution

The fourth proportional to 5,286.07, 7,931.84 and 2,689 is: 4,034.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.07 : 7,931.84 = 2,689 : x
  2. Step 2: Convert to fraction form
    5,286.07/7,931.84 = 2,689/x
  3. Step 3: Cross multiply
    5,286.07x = 7,931.84 × 2,689
  4. Step 4: Simplify right side
    5,286.07x = 21,328,717.76
  5. Step 5: Solve for x
    x = 21,328,717.76/5,286.07
  6. Step 6: Final answer
    x = 4,034.89

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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.