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Finding the Fourth Proportional to 3,497.28, 4,826.07 and 2,005.08

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Solution

The fourth proportional to 3,497.28, 4,826.07 and 2,005.08 is: 2,766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.28 : 4,826.07 = 2,005.08 : x
  2. Step 2: Convert to fraction form
    3,497.28/4,826.07 = 2,005.08/x
  3. Step 3: Cross multiply
    3,497.28x = 4,826.07 × 2,005.08
  4. Step 4: Simplify right side
    3,497.28x = 9,676,656.44
  5. Step 5: Solve for x
    x = 9,676,656.44/3,497.28
  6. Step 6: Final answer
    x = 2,766.91

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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.