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Finding the Fourth Proportional to 5,062.56, 7,594.23 and 2,141.70

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Solution

The fourth proportional to 5,062.56, 7,594.23 and 2,141.70 is: 3,212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062.56 : 7,594.23 = 2,141.70 : x
  2. Step 2: Convert to fraction form
    5,062.56/7,594.23 = 2,141.70/x
  3. Step 3: Cross multiply
    5,062.56x = 7,594.23 × 2,141.70
  4. Step 4: Simplify right side
    5,062.56x = 16,264,562.39
  5. Step 5: Solve for x
    x = 16,264,562.39/5,062.56
  6. Step 6: Final answer
    x = 3,212.71

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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.