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Finding the Fourth Proportional to 5,422.74, 8,134.44 and 1,527.48

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Solution

The fourth proportional to 5,422.74, 8,134.44 and 1,527.48 is: 2,291.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.74 : 8,134.44 = 1,527.48 : x
  2. Step 2: Convert to fraction form
    5,422.74/8,134.44 = 1,527.48/x
  3. Step 3: Cross multiply
    5,422.74x = 8,134.44 × 1,527.48
  4. Step 4: Simplify right side
    5,422.74x = 12,425,194.41
  5. Step 5: Solve for x
    x = 12,425,194.41/5,422.74
  6. Step 6: Final answer
    x = 2,291.31

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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.