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Finding the Fourth Proportional to 5,407.64, 8,112.03 and 2,287.96

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Solution

The fourth proportional to 5,407.64, 8,112.03 and 2,287.96 is: 3,432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.64 : 8,112.03 = 2,287.96 : x
  2. Step 2: Convert to fraction form
    5,407.64/8,112.03 = 2,287.96/x
  3. Step 3: Cross multiply
    5,407.64x = 8,112.03 × 2,287.96
  4. Step 4: Simplify right side
    5,407.64x = 18,560,002.01
  5. Step 5: Solve for x
    x = 18,560,002.01/5,407.64
  6. Step 6: Final answer
    x = 3,432.18

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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.