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Finding the Fourth Proportional to 3,914.56, 5,395.96 and 2,966.56

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Solution

The fourth proportional to 3,914.56, 5,395.96 and 2,966.56 is: 4,089.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.56 : 5,395.96 = 2,966.56 : x
  2. Step 2: Convert to fraction form
    3,914.56/5,395.96 = 2,966.56/x
  3. Step 3: Cross multiply
    3,914.56x = 5,395.96 × 2,966.56
  4. Step 4: Simplify right side
    3,914.56x = 16,007,429.32
  5. Step 5: Solve for x
    x = 16,007,429.32/3,914.56
  6. Step 6: Final answer
    x = 4,089.20

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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.