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Finding the Fourth Proportional to 5,269, 7,272.66 and 3,592.84

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Solution

The fourth proportional to 5,269, 7,272.66 and 3,592.84 is: 4,959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269 : 7,272.66 = 3,592.84 : x
  2. Step 2: Convert to fraction form
    5,269/7,272.66 = 3,592.84/x
  3. Step 3: Cross multiply
    5,269x = 7,272.66 × 3,592.84
  4. Step 4: Simplify right side
    5,269x = 26,129,503.75
  5. Step 5: Solve for x
    x = 26,129,503.75/5,269
  6. Step 6: Final answer
    x = 4,959.10

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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.