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Finding the Fourth Proportional to 3,497.82, 4,827.45 and 2,005.44

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Solution

The fourth proportional to 3,497.82, 4,827.45 and 2,005.44 is: 2,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.82 : 4,827.45 = 2,005.44 : x
  2. Step 2: Convert to fraction form
    3,497.82/4,827.45 = 2,005.44/x
  3. Step 3: Cross multiply
    3,497.82x = 4,827.45 × 2,005.44
  4. Step 4: Simplify right side
    3,497.82x = 9,681,179.43
  5. Step 5: Solve for x
    x = 9,681,179.43/3,497.82
  6. Step 6: Final answer
    x = 2,767.78

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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.