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Finding the Fourth Proportional to 5,366, 7,402.56 and 3,794.96

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Solution

The fourth proportional to 5,366, 7,402.56 and 3,794.96 is: 5,235.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,366 : 7,402.56 = 3,794.96 : x
  2. Step 2: Convert to fraction form
    5,366/7,402.56 = 3,794.96/x
  3. Step 3: Cross multiply
    5,366x = 7,402.56 × 3,794.96
  4. Step 4: Simplify right side
    5,366x = 28,092,419.10
  5. Step 5: Solve for x
    x = 28,092,419.10/5,366
  6. Step 6: Final answer
    x = 5,235.26

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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.