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Finding the Fourth Proportional to 3,876.77, 5,350.20 and 2,364.05

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Solution

The fourth proportional to 3,876.77, 5,350.20 and 2,364.05 is: 3,262.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.77 : 5,350.20 = 2,364.05 : x
  2. Step 2: Convert to fraction form
    3,876.77/5,350.20 = 2,364.05/x
  3. Step 3: Cross multiply
    3,876.77x = 5,350.20 × 2,364.05
  4. Step 4: Simplify right side
    3,876.77x = 12,648,140.31
  5. Step 5: Solve for x
    x = 12,648,140.31/3,876.77
  6. Step 6: Final answer
    x = 3,262.55

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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.