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Finding the Fourth Proportional to 4,295.18, 6,449.31 and 4,083.77

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Solution

The fourth proportional to 4,295.18, 6,449.31 and 4,083.77 is: 6,131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.18 : 6,449.31 = 4,083.77 : x
  2. Step 2: Convert to fraction form
    4,295.18/6,449.31 = 4,083.77/x
  3. Step 3: Cross multiply
    4,295.18x = 6,449.31 × 4,083.77
  4. Step 4: Simplify right side
    4,295.18x = 26,337,498.70
  5. Step 5: Solve for x
    x = 26,337,498.70/4,295.18
  6. Step 6: Final answer
    x = 6,131.87

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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.