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Finding the Fourth Proportional to 3,383.49, 4,667.50 and 2,264.47

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Solution

The fourth proportional to 3,383.49, 4,667.50 and 2,264.47 is: 3,123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.49 : 4,667.50 = 2,264.47 : x
  2. Step 2: Convert to fraction form
    3,383.49/4,667.50 = 2,264.47/x
  3. Step 3: Cross multiply
    3,383.49x = 4,667.50 × 2,264.47
  4. Step 4: Simplify right side
    3,383.49x = 10,569,413.73
  5. Step 5: Solve for x
    x = 10,569,413.73/3,383.49
  6. Step 6: Final answer
    x = 3,123.82

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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.