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Finding the Fourth Proportional to 3,478.67, 5,220.59 and 2,164.33

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Solution

The fourth proportional to 3,478.67, 5,220.59 and 2,164.33 is: 3,248.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.67 : 5,220.59 = 2,164.33 : x
  2. Step 2: Convert to fraction form
    3,478.67/5,220.59 = 2,164.33/x
  3. Step 3: Cross multiply
    3,478.67x = 5,220.59 × 2,164.33
  4. Step 4: Simplify right side
    3,478.67x = 11,299,083.38
  5. Step 5: Solve for x
    x = 11,299,083.38/3,478.67
  6. Step 6: Final answer
    x = 3,248.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.