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Finding the Fourth Proportional to 5,317.38, 7,338.06 and 2,959.83

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Solution

The fourth proportional to 5,317.38, 7,338.06 and 2,959.83 is: 4,084.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317.38 : 7,338.06 = 2,959.83 : x
  2. Step 2: Convert to fraction form
    5,317.38/7,338.06 = 2,959.83/x
  3. Step 3: Cross multiply
    5,317.38x = 7,338.06 × 2,959.83
  4. Step 4: Simplify right side
    5,317.38x = 21,719,410.13
  5. Step 5: Solve for x
    x = 21,719,410.13/5,317.38
  6. Step 6: Final answer
    x = 4,084.61

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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.