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Finding the Fourth Proportional to 3,640.50, 5,023.71 and 2,068.50

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Solution

The fourth proportional to 3,640.50, 5,023.71 and 2,068.50 is: 2,854.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.50 : 5,023.71 = 2,068.50 : x
  2. Step 2: Convert to fraction form
    3,640.50/5,023.71 = 2,068.50/x
  3. Step 3: Cross multiply
    3,640.50x = 5,023.71 × 2,068.50
  4. Step 4: Simplify right side
    3,640.50x = 10,391,544.14
  5. Step 5: Solve for x
    x = 10,391,544.14/3,640.50
  6. Step 6: Final answer
    x = 2,854.43

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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.