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Finding the Fourth Proportional to 5,396, 7,446.48 and 3,740.96

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Solution

The fourth proportional to 5,396, 7,446.48 and 3,740.96 is: 5,162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396 : 7,446.48 = 3,740.96 : x
  2. Step 2: Convert to fraction form
    5,396/7,446.48 = 3,740.96/x
  3. Step 3: Cross multiply
    5,396x = 7,446.48 × 3,740.96
  4. Step 4: Simplify right side
    5,396x = 27,856,983.82
  5. Step 5: Solve for x
    x = 27,856,983.82/5,396
  6. Step 6: Final answer
    x = 5,162.52

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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.