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Finding the Fourth Proportional to 3,914.66, 5,871.68 and 2,434.20

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Solution

The fourth proportional to 3,914.66, 5,871.68 and 2,434.20 is: 3,651.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.66 : 5,871.68 = 2,434.20 : x
  2. Step 2: Convert to fraction form
    3,914.66/5,871.68 = 2,434.20/x
  3. Step 3: Cross multiply
    3,914.66x = 5,871.68 × 2,434.20
  4. Step 4: Simplify right side
    3,914.66x = 14,292,843.46
  5. Step 5: Solve for x
    x = 14,292,843.46/3,914.66
  6. Step 6: Final answer
    x = 3,651.11

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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.