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Finding the Fourth Proportional to 5,252.56, 7,877.96 and 1,920.12

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Solution

The fourth proportional to 5,252.56, 7,877.96 and 1,920.12 is: 2,879.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.56 : 7,877.96 = 1,920.12 : x
  2. Step 2: Convert to fraction form
    5,252.56/7,877.96 = 1,920.12/x
  3. Step 3: Cross multiply
    5,252.56x = 7,877.96 × 1,920.12
  4. Step 4: Simplify right side
    5,252.56x = 15,126,628.56
  5. Step 5: Solve for x
    x = 15,126,628.56/5,252.56
  6. Step 6: Final answer
    x = 2,879.86

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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.