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Finding the Fourth Proportional to 3,640.02, 5,023.80 and 2,314.32

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Solution

The fourth proportional to 3,640.02, 5,023.80 and 2,314.32 is: 3,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.02 : 5,023.80 = 2,314.32 : x
  2. Step 2: Convert to fraction form
    3,640.02/5,023.80 = 2,314.32/x
  3. Step 3: Cross multiply
    3,640.02x = 5,023.80 × 2,314.32
  4. Step 4: Simplify right side
    3,640.02x = 11,626,680.82
  5. Step 5: Solve for x
    x = 11,626,680.82/3,640.02
  6. Step 6: Final answer
    x = 3,194.13

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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.