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Finding the Fourth Proportional to 3,640.58, 5,023.71 and 2,224.95

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Solution

The fourth proportional to 3,640.58, 5,023.71 and 2,224.95 is: 3,070.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.58 : 5,023.71 = 2,224.95 : x
  2. Step 2: Convert to fraction form
    3,640.58/5,023.71 = 2,224.95/x
  3. Step 3: Cross multiply
    3,640.58x = 5,023.71 × 2,224.95
  4. Step 4: Simplify right side
    3,640.58x = 11,177,519.24
  5. Step 5: Solve for x
    x = 11,177,519.24/3,640.58
  6. Step 6: Final answer
    x = 3,070.26

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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.