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Finding the Fourth Proportional to 3,504.77, 5,253.61 and 2,272.97

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Solution

The fourth proportional to 3,504.77, 5,253.61 and 2,272.97 is: 3,407.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.77 : 5,253.61 = 2,272.97 : x
  2. Step 2: Convert to fraction form
    3,504.77/5,253.61 = 2,272.97/x
  3. Step 3: Cross multiply
    3,504.77x = 5,253.61 × 2,272.97
  4. Step 4: Simplify right side
    3,504.77x = 11,941,260.29
  5. Step 5: Solve for x
    x = 11,941,260.29/3,504.77
  6. Step 6: Final answer
    x = 3,407.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.