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Finding the Fourth Proportional to 5,327.36, 7,983.36 and 4,175.36

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Solution

The fourth proportional to 5,327.36, 7,983.36 and 4,175.36 is: 6,257.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,327.36 : 7,983.36 = 4,175.36 : x
  2. Step 2: Convert to fraction form
    5,327.36/7,983.36 = 4,175.36/x
  3. Step 3: Cross multiply
    5,327.36x = 7,983.36 × 4,175.36
  4. Step 4: Simplify right side
    5,327.36x = 33,333,402.01
  5. Step 5: Solve for x
    x = 33,333,402.01/5,327.36
  6. Step 6: Final answer
    x = 6,257.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.