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Finding the Fourth Proportional to 3,908.65, 5,863.58 and 1,310.98

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Solution

The fourth proportional to 3,908.65, 5,863.58 and 1,310.98 is: 1,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.65 : 5,863.58 = 1,310.98 : x
  2. Step 2: Convert to fraction form
    3,908.65/5,863.58 = 1,310.98/x
  3. Step 3: Cross multiply
    3,908.65x = 5,863.58 × 1,310.98
  4. Step 4: Simplify right side
    3,908.65x = 7,687,014.31
  5. Step 5: Solve for x
    x = 7,687,014.31/3,908.65
  6. Step 6: Final answer
    x = 1,966.67

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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.