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Finding the Fourth Proportional to 5,266, 7,263.84 and 3,496.96

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Solution

The fourth proportional to 5,266, 7,263.84 and 3,496.96 is: 4,823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266 : 7,263.84 = 3,496.96 : x
  2. Step 2: Convert to fraction form
    5,266/7,263.84 = 3,496.96/x
  3. Step 3: Cross multiply
    5,266x = 7,263.84 × 3,496.96
  4. Step 4: Simplify right side
    5,266x = 25,401,357.93
  5. Step 5: Solve for x
    x = 25,401,357.93/5,266
  6. Step 6: Final answer
    x = 4,823.65

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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.