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Finding the Fourth Proportional to 3,868.60, 5,335.23 and 3,122.32

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Solution

The fourth proportional to 3,868.60, 5,335.23 and 3,122.32 is: 4,306.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.60 : 5,335.23 = 3,122.32 : x
  2. Step 2: Convert to fraction form
    3,868.60/5,335.23 = 3,122.32/x
  3. Step 3: Cross multiply
    3,868.60x = 5,335.23 × 3,122.32
  4. Step 4: Simplify right side
    3,868.60x = 16,658,295.33
  5. Step 5: Solve for x
    x = 16,658,295.33/3,868.60
  6. Step 6: Final answer
    x = 4,306.03

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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.