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Finding the Fourth Proportional to 3,640.82, 5,023.01 and 2,068.00

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Solution

The fourth proportional to 3,640.82, 5,023.01 and 2,068.00 is: 2,853.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.82 : 5,023.01 = 2,068.00 : x
  2. Step 2: Convert to fraction form
    3,640.82/5,023.01 = 2,068.00/x
  3. Step 3: Cross multiply
    3,640.82x = 5,023.01 × 2,068.00
  4. Step 4: Simplify right side
    3,640.82x = 10,387,577.29
  5. Step 5: Solve for x
    x = 10,387,577.29/3,640.82
  6. Step 6: Final answer
    x = 2,853.09

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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.