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Finding the Fourth Proportional to 3,914.24, 5,875.22 and 2,661

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Solution

The fourth proportional to 3,914.24, 5,875.22 and 2,661 is: 3,994.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.24 : 5,875.22 = 2,661 : x
  2. Step 2: Convert to fraction form
    3,914.24/5,875.22 = 2,661/x
  3. Step 3: Cross multiply
    3,914.24x = 5,875.22 × 2,661
  4. Step 4: Simplify right side
    3,914.24x = 15,633,960.42
  5. Step 5: Solve for x
    x = 15,633,960.42/3,914.24
  6. Step 6: Final answer
    x = 3,994.12

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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.