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Finding the Fourth Proportional to 3,338.31, 5,007.42 and 873.18

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Solution

The fourth proportional to 3,338.31, 5,007.42 and 873.18 is: 1,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.31 : 5,007.42 = 873.18 : x
  2. Step 2: Convert to fraction form
    3,338.31/5,007.42 = 873.18/x
  3. Step 3: Cross multiply
    3,338.31x = 5,007.42 × 873.18
  4. Step 4: Simplify right side
    3,338.31x = 4,372,379.00
  5. Step 5: Solve for x
    x = 4,372,379.00/3,338.31
  6. Step 6: Final answer
    x = 1,309.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.