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Finding the Fourth Proportional to 3,973.06, 5,482.91 and 2,204.63

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Solution

The fourth proportional to 3,973.06, 5,482.91 and 2,204.63 is: 3,042.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.06 : 5,482.91 = 2,204.63 : x
  2. Step 2: Convert to fraction form
    3,973.06/5,482.91 = 2,204.63/x
  3. Step 3: Cross multiply
    3,973.06x = 5,482.91 × 2,204.63
  4. Step 4: Simplify right side
    3,973.06x = 12,087,765.97
  5. Step 5: Solve for x
    x = 12,087,765.97/3,973.06
  6. Step 6: Final answer
    x = 3,042.43

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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.