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Finding the Fourth Proportional to 3,640.74, 5,023.80 and 2,068.50

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Solution

The fourth proportional to 3,640.74, 5,023.80 and 2,068.50 is: 2,854.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.74 : 5,023.80 = 2,068.50 : x
  2. Step 2: Convert to fraction form
    3,640.74/5,023.80 = 2,068.50/x
  3. Step 3: Cross multiply
    3,640.74x = 5,023.80 × 2,068.50
  4. Step 4: Simplify right side
    3,640.74x = 10,391,730.30
  5. Step 5: Solve for x
    x = 10,391,730.30/3,640.74
  6. Step 6: Final answer
    x = 2,854.29

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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.