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Finding the Fourth Proportional to 4,695.75, 6,480.14 and 2,833.83

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Solution

The fourth proportional to 4,695.75, 6,480.14 and 2,833.83 is: 3,910.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.75 : 6,480.14 = 2,833.83 : x
  2. Step 2: Convert to fraction form
    4,695.75/6,480.14 = 2,833.83/x
  3. Step 3: Cross multiply
    4,695.75x = 6,480.14 × 2,833.83
  4. Step 4: Simplify right side
    4,695.75x = 18,363,600.97
  5. Step 5: Solve for x
    x = 18,363,600.97/4,695.75
  6. Step 6: Final answer
    x = 3,910.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.