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Finding the Fourth Proportional to 5,338.26, 7,366.80 and 2,980.38

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Solution

The fourth proportional to 5,338.26, 7,366.80 and 2,980.38 is: 4,112.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.26 : 7,366.80 = 2,980.38 : x
  2. Step 2: Convert to fraction form
    5,338.26/7,366.80 = 2,980.38/x
  3. Step 3: Cross multiply
    5,338.26x = 7,366.80 × 2,980.38
  4. Step 4: Simplify right side
    5,338.26x = 21,955,863.38
  5. Step 5: Solve for x
    x = 21,955,863.38/5,338.26
  6. Step 6: Final answer
    x = 4,112.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.