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Finding the Fourth Proportional to 2,854.51, 3,910.61 and 2,747.90

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Solution

The fourth proportional to 2,854.51, 3,910.61 and 2,747.90 is: 3,764.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.51 : 3,910.61 = 2,747.90 : x
  2. Step 2: Convert to fraction form
    2,854.51/3,910.61 = 2,747.90/x
  3. Step 3: Cross multiply
    2,854.51x = 3,910.61 × 2,747.90
  4. Step 4: Simplify right side
    2,854.51x = 10,745,981.87
  5. Step 5: Solve for x
    x = 10,745,981.87/2,854.51
  6. Step 6: Final answer
    x = 3,764.57

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.