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Finding the Fourth Proportional to 3,640.40, 5,023.63 and 2,047.00

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Solution

The fourth proportional to 3,640.40, 5,023.63 and 2,047.00 is: 2,824.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.40 : 5,023.63 = 2,047.00 : x
  2. Step 2: Convert to fraction form
    3,640.40/5,023.63 = 2,047.00/x
  3. Step 3: Cross multiply
    3,640.40x = 5,023.63 × 2,047.00
  4. Step 4: Simplify right side
    3,640.40x = 10,283,352.93
  5. Step 5: Solve for x
    x = 10,283,352.93/3,640.40
  6. Step 6: Final answer
    x = 2,824.79

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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.