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Finding the Fourth Proportional to 3,211.07, 4,816.93 and 871.12

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Solution

The fourth proportional to 3,211.07, 4,816.93 and 871.12 is: 1,306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.07 : 4,816.93 = 871.12 : x
  2. Step 2: Convert to fraction form
    3,211.07/4,816.93 = 871.12/x
  3. Step 3: Cross multiply
    3,211.07x = 4,816.93 × 871.12
  4. Step 4: Simplify right side
    3,211.07x = 4,196,113.11
  5. Step 5: Solve for x
    x = 4,196,113.11/3,211.07
  6. Step 6: Final answer
    x = 1,306.76

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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.