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Finding the Fourth Proportional to 5,383.36, 7,419.36 and 3,983.68

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Solution

The fourth proportional to 5,383.36, 7,419.36 and 3,983.68 is: 5,490.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.36 : 7,419.36 = 3,983.68 : x
  2. Step 2: Convert to fraction form
    5,383.36/7,419.36 = 3,983.68/x
  3. Step 3: Cross multiply
    5,383.36x = 7,419.36 × 3,983.68
  4. Step 4: Simplify right side
    5,383.36x = 29,556,356.04
  5. Step 5: Solve for x
    x = 29,556,356.04/5,383.36
  6. Step 6: Final answer
    x = 5,490.32

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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.