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Finding the Fourth Proportional to 4,761.86, 7,139.91 and 3,218.18

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Solution

The fourth proportional to 4,761.86, 7,139.91 and 3,218.18 is: 4,825.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.86 : 7,139.91 = 3,218.18 : x
  2. Step 2: Convert to fraction form
    4,761.86/7,139.91 = 3,218.18/x
  3. Step 3: Cross multiply
    4,761.86x = 7,139.91 × 3,218.18
  4. Step 4: Simplify right side
    4,761.86x = 22,977,515.56
  5. Step 5: Solve for x
    x = 22,977,515.56/4,761.86
  6. Step 6: Final answer
    x = 4,825.32

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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.