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Finding the Fourth Proportional to 3,168.72, 4,374 and 2,381.40

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Solution

The fourth proportional to 3,168.72, 4,374 and 2,381.40 is: 3,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.72 : 4,374 = 2,381.40 : x
  2. Step 2: Convert to fraction form
    3,168.72/4,374 = 2,381.40/x
  3. Step 3: Cross multiply
    3,168.72x = 4,374 × 2,381.40
  4. Step 4: Simplify right side
    3,168.72x = 10,416,243.60
  5. Step 5: Solve for x
    x = 10,416,243.60/3,168.72
  6. Step 6: Final answer
    x = 3,287.21

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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.