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Finding the Fourth Proportional to 5,292, 7,302.96 and 2,934.63

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Solution

The fourth proportional to 5,292, 7,302.96 and 2,934.63 is: 4,049.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292 : 7,302.96 = 2,934.63 : x
  2. Step 2: Convert to fraction form
    5,292/7,302.96 = 2,934.63/x
  3. Step 3: Cross multiply
    5,292x = 7,302.96 × 2,934.63
  4. Step 4: Simplify right side
    5,292x = 21,431,485.50
  5. Step 5: Solve for x
    x = 21,431,485.50/5,292
  6. Step 6: Final answer
    x = 4,049.79

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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.