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Finding the Fourth Proportional to 3,926.59, 5,882.09 and 2,367

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Solution

The fourth proportional to 3,926.59, 5,882.09 and 2,367 is: 3,545.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.59 : 5,882.09 = 2,367 : x
  2. Step 2: Convert to fraction form
    3,926.59/5,882.09 = 2,367/x
  3. Step 3: Cross multiply
    3,926.59x = 5,882.09 × 2,367
  4. Step 4: Simplify right side
    3,926.59x = 13,922,907.03
  5. Step 5: Solve for x
    x = 13,922,907.03/3,926.59
  6. Step 6: Final answer
    x = 3,545.80

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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.