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Finding the Fourth Proportional to 5,287.68, 7,931.20 and 1,392

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Solution

The fourth proportional to 5,287.68, 7,931.20 and 1,392 is: 2,087.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.68 : 7,931.20 = 1,392 : x
  2. Step 2: Convert to fraction form
    5,287.68/7,931.20 = 1,392/x
  3. Step 3: Cross multiply
    5,287.68x = 7,931.20 × 1,392
  4. Step 4: Simplify right side
    5,287.68x = 11,040,230.40
  5. Step 5: Solve for x
    x = 11,040,230.40/5,287.68
  6. Step 6: Final answer
    x = 2,087.92

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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.