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Finding the Fourth Proportional to 3,462.66, 5,193.18 and 1,706.85

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Solution

The fourth proportional to 3,462.66, 5,193.18 and 1,706.85 is: 2,559.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.66 : 5,193.18 = 1,706.85 : x
  2. Step 2: Convert to fraction form
    3,462.66/5,193.18 = 1,706.85/x
  3. Step 3: Cross multiply
    3,462.66x = 5,193.18 × 1,706.85
  4. Step 4: Simplify right side
    3,462.66x = 8,863,979.28
  5. Step 5: Solve for x
    x = 8,863,979.28/3,462.66
  6. Step 6: Final answer
    x = 2,559.88

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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.