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Finding the Fourth Proportional to 5,052.81, 7,579.22 and 1,542.84

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Solution

The fourth proportional to 5,052.81, 7,579.22 and 1,542.84 is: 2,314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.81 : 7,579.22 = 1,542.84 : x
  2. Step 2: Convert to fraction form
    5,052.81/7,579.22 = 1,542.84/x
  3. Step 3: Cross multiply
    5,052.81x = 7,579.22 × 1,542.84
  4. Step 4: Simplify right side
    5,052.81x = 11,693,523.78
  5. Step 5: Solve for x
    x = 11,693,523.78/5,052.81
  6. Step 6: Final answer
    x = 2,314.26

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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.