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Finding the Fourth Proportional to 3,497.57, 4,826.83 and 2,005.73

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Solution

The fourth proportional to 3,497.57, 4,826.83 and 2,005.73 is: 2,768.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.57 : 4,826.83 = 2,005.73 : x
  2. Step 2: Convert to fraction form
    3,497.57/4,826.83 = 2,005.73/x
  3. Step 3: Cross multiply
    3,497.57x = 4,826.83 × 2,005.73
  4. Step 4: Simplify right side
    3,497.57x = 9,681,293.60
  5. Step 5: Solve for x
    x = 9,681,293.60/3,497.57
  6. Step 6: Final answer
    x = 2,768.01

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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.