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Finding the Fourth Proportional to 5,389.74, 8,084.43 and 1,494.18

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Solution

The fourth proportional to 5,389.74, 8,084.43 and 1,494.18 is: 2,241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.74 : 8,084.43 = 1,494.18 : x
  2. Step 2: Convert to fraction form
    5,389.74/8,084.43 = 1,494.18/x
  3. Step 3: Cross multiply
    5,389.74x = 8,084.43 × 1,494.18
  4. Step 4: Simplify right side
    5,389.74x = 12,079,593.62
  5. Step 5: Solve for x
    x = 12,079,593.62/5,389.74
  6. Step 6: Final answer
    x = 2,241.22

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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.