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Finding the Fourth Proportional to 3,311.69, 4,960.43 and 3,117.83

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Solution

The fourth proportional to 3,311.69, 4,960.43 and 3,117.83 is: 4,670.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.69 : 4,960.43 = 3,117.83 : x
  2. Step 2: Convert to fraction form
    3,311.69/4,960.43 = 3,117.83/x
  3. Step 3: Cross multiply
    3,311.69x = 4,960.43 × 3,117.83
  4. Step 4: Simplify right side
    3,311.69x = 15,465,761.88
  5. Step 5: Solve for x
    x = 15,465,761.88/3,311.69
  6. Step 6: Final answer
    x = 4,670.05

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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.