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Finding the Fourth Proportional to 3,811.07, 5,711.42 and 2,330.82

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Solution

The fourth proportional to 3,811.07, 5,711.42 and 2,330.82 is: 3,493.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.07 : 5,711.42 = 2,330.82 : x
  2. Step 2: Convert to fraction form
    3,811.07/5,711.42 = 2,330.82/x
  3. Step 3: Cross multiply
    3,811.07x = 5,711.42 × 2,330.82
  4. Step 4: Simplify right side
    3,811.07x = 13,312,280.31
  5. Step 5: Solve for x
    x = 13,312,280.31/3,811.07
  6. Step 6: Final answer
    x = 3,493.06

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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.