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Finding the Fourth Proportional to 5,354, 7,388.36 and 2,996.36

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Solution

The fourth proportional to 5,354, 7,388.36 and 2,996.36 is: 4,134.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354 : 7,388.36 = 2,996.36 : x
  2. Step 2: Convert to fraction form
    5,354/7,388.36 = 2,996.36/x
  3. Step 3: Cross multiply
    5,354x = 7,388.36 × 2,996.36
  4. Step 4: Simplify right side
    5,354x = 22,138,186.37
  5. Step 5: Solve for x
    x = 22,138,186.37/5,354
  6. Step 6: Final answer
    x = 4,134.89

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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.