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Finding the Fourth Proportional to 3,644.16, 5,461.63 and 2,327.41

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Solution

The fourth proportional to 3,644.16, 5,461.63 and 2,327.41 is: 3,488.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.16 : 5,461.63 = 2,327.41 : x
  2. Step 2: Convert to fraction form
    3,644.16/5,461.63 = 2,327.41/x
  3. Step 3: Cross multiply
    3,644.16x = 5,461.63 × 2,327.41
  4. Step 4: Simplify right side
    3,644.16x = 12,711,413.33
  5. Step 5: Solve for x
    x = 12,711,413.33/3,644.16
  6. Step 6: Final answer
    x = 3,488.16

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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.