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Finding the Fourth Proportional to 5,317.32, 7,338 and 2,959.68

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Solution

The fourth proportional to 5,317.32, 7,338 and 2,959.68 is: 4,084.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317.32 : 7,338 = 2,959.68 : x
  2. Step 2: Convert to fraction form
    5,317.32/7,338 = 2,959.68/x
  3. Step 3: Cross multiply
    5,317.32x = 7,338 × 2,959.68
  4. Step 4: Simplify right side
    5,317.32x = 21,718,131.84
  5. Step 5: Solve for x
    x = 21,718,131.84/5,317.32
  6. Step 6: Final answer
    x = 4,084.41

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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.