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Finding the Fourth Proportional to 3,414.57, 4,707.86 and 2,847.66

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Solution

The fourth proportional to 3,414.57, 4,707.86 and 2,847.66 is: 3,926.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.57 : 4,707.86 = 2,847.66 : x
  2. Step 2: Convert to fraction form
    3,414.57/4,707.86 = 2,847.66/x
  3. Step 3: Cross multiply
    3,414.57x = 4,707.86 × 2,847.66
  4. Step 4: Simplify right side
    3,414.57x = 13,406,364.73
  5. Step 5: Solve for x
    x = 13,406,364.73/3,414.57
  6. Step 6: Final answer
    x = 3,926.23

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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.