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Finding the Fourth Proportional to 3,876.90, 5,350.24 and 2,385.69

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Solution

The fourth proportional to 3,876.90, 5,350.24 and 2,385.69 is: 3,292.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.90 : 5,350.24 = 2,385.69 : x
  2. Step 2: Convert to fraction form
    3,876.90/5,350.24 = 2,385.69/x
  3. Step 3: Cross multiply
    3,876.90x = 5,350.24 × 2,385.69
  4. Step 4: Simplify right side
    3,876.90x = 12,764,014.07
  5. Step 5: Solve for x
    x = 12,764,014.07/3,876.90
  6. Step 6: Final answer
    x = 3,292.32

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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.