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Finding the Fourth Proportional to 3,497.27, 4,826.36 and 2,005.47

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Solution

The fourth proportional to 3,497.27, 4,826.36 and 2,005.47 is: 2,767.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.27 : 4,826.36 = 2,005.47 : x
  2. Step 2: Convert to fraction form
    3,497.27/4,826.36 = 2,005.47/x
  3. Step 3: Cross multiply
    3,497.27x = 4,826.36 × 2,005.47
  4. Step 4: Simplify right side
    3,497.27x = 9,679,110.16
  5. Step 5: Solve for x
    x = 9,679,110.16/3,497.27
  6. Step 6: Final answer
    x = 2,767.62

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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.