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Finding the Fourth Proportional to 5,086.94, 7,614.14 and 3,317.78

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Solution

The fourth proportional to 5,086.94, 7,614.14 and 3,317.78 is: 4,966.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.94 : 7,614.14 = 3,317.78 : x
  2. Step 2: Convert to fraction form
    5,086.94/7,614.14 = 3,317.78/x
  3. Step 3: Cross multiply
    5,086.94x = 7,614.14 × 3,317.78
  4. Step 4: Simplify right side
    5,086.94x = 25,262,043.86
  5. Step 5: Solve for x
    x = 25,262,043.86/5,086.94
  6. Step 6: Final answer
    x = 4,966.06

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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.