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Finding the Fourth Proportional to 3,381.62, 4,666.32 and 2,055.42

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Solution

The fourth proportional to 3,381.62, 4,666.32 and 2,055.42 is: 2,836.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.62 : 4,666.32 = 2,055.42 : x
  2. Step 2: Convert to fraction form
    3,381.62/4,666.32 = 2,055.42/x
  3. Step 3: Cross multiply
    3,381.62x = 4,666.32 × 2,055.42
  4. Step 4: Simplify right side
    3,381.62x = 9,591,247.45
  5. Step 5: Solve for x
    x = 9,591,247.45/3,381.62
  6. Step 6: Final answer
    x = 2,836.29

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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.