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Finding the Fourth Proportional to 3,381.66, 5,066.40 and 3,178.34

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Solution

The fourth proportional to 3,381.66, 5,066.40 and 3,178.34 is: 4,761.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.66 : 5,066.40 = 3,178.34 : x
  2. Step 2: Convert to fraction form
    3,381.66/5,066.40 = 3,178.34/x
  3. Step 3: Cross multiply
    3,381.66x = 5,066.40 × 3,178.34
  4. Step 4: Simplify right side
    3,381.66x = 16,102,741.78
  5. Step 5: Solve for x
    x = 16,102,741.78/3,381.66
  6. Step 6: Final answer
    x = 4,761.79

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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.