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Finding the Fourth Proportional to 3,811.17, 5,715.33 and 1,311.65

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Solution

The fourth proportional to 3,811.17, 5,715.33 and 1,311.65 is: 1,966.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.17 : 5,715.33 = 1,311.65 : x
  2. Step 2: Convert to fraction form
    3,811.17/5,715.33 = 1,311.65/x
  3. Step 3: Cross multiply
    3,811.17x = 5,715.33 × 1,311.65
  4. Step 4: Simplify right side
    3,811.17x = 7,496,536.37
  5. Step 5: Solve for x
    x = 7,496,536.37/3,811.17
  6. Step 6: Final answer
    x = 1,966.99

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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.