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Finding the Fourth Proportional to 5,678.94, 8,517.78 and 1,519.38

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Solution

The fourth proportional to 5,678.94, 8,517.78 and 1,519.38 is: 2,278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.94 : 8,517.78 = 1,519.38 : x
  2. Step 2: Convert to fraction form
    5,678.94/8,517.78 = 1,519.38/x
  3. Step 3: Cross multiply
    5,678.94x = 8,517.78 × 1,519.38
  4. Step 4: Simplify right side
    5,678.94x = 12,941,744.58
  5. Step 5: Solve for x
    x = 12,941,744.58/5,678.94
  6. Step 6: Final answer
    x = 2,278.90

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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.