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Finding the Fourth Proportional to 3,874.67, 5,346.65 and 2,302.46

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Solution

The fourth proportional to 3,874.67, 5,346.65 and 2,302.46 is: 3,177.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.67 : 5,346.65 = 2,302.46 : x
  2. Step 2: Convert to fraction form
    3,874.67/5,346.65 = 2,302.46/x
  3. Step 3: Cross multiply
    3,874.67x = 5,346.65 × 2,302.46
  4. Step 4: Simplify right side
    3,874.67x = 12,310,436.25
  5. Step 5: Solve for x
    x = 12,310,436.25/3,874.67
  6. Step 6: Final answer
    x = 3,177.16

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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.