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Finding the Fourth Proportional to 5,339, 7,367.67 and 2,948.82

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Solution

The fourth proportional to 5,339, 7,367.67 and 2,948.82 is: 4,069.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339 : 7,367.67 = 2,948.82 : x
  2. Step 2: Convert to fraction form
    5,339/7,367.67 = 2,948.82/x
  3. Step 3: Cross multiply
    5,339x = 7,367.67 × 2,948.82
  4. Step 4: Simplify right side
    5,339x = 21,725,932.65
  5. Step 5: Solve for x
    x = 21,725,932.65/5,339
  6. Step 6: Final answer
    x = 4,069.29

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