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Finding the Fourth Proportional to 3,588, 5,383.92 and 2,724

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Solution

The fourth proportional to 3,588, 5,383.92 and 2,724 is: 4,087.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588 : 5,383.92 = 2,724 : x
  2. Step 2: Convert to fraction form
    3,588/5,383.92 = 2,724/x
  3. Step 3: Cross multiply
    3,588x = 5,383.92 × 2,724
  4. Step 4: Simplify right side
    3,588x = 14,665,798.08
  5. Step 5: Solve for x
    x = 14,665,798.08/3,588
  6. Step 6: Final answer
    x = 4,087.46

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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.