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Finding the Fourth Proportional to 5,494.32, 8,244.71 and 2,034

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Solution

The fourth proportional to 5,494.32, 8,244.71 and 2,034 is: 3,052.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.32 : 8,244.71 = 2,034 : x
  2. Step 2: Convert to fraction form
    5,494.32/8,244.71 = 2,034/x
  3. Step 3: Cross multiply
    5,494.32x = 8,244.71 × 2,034
  4. Step 4: Simplify right side
    5,494.32x = 16,769,740.14
  5. Step 5: Solve for x
    x = 16,769,740.14/5,494.32
  6. Step 6: Final answer
    x = 3,052.20

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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.