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Finding the Fourth Proportional to 5,441, 7,508.58 and 3,233

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Solution

The fourth proportional to 5,441, 7,508.58 and 3,233 is: 4,461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441 : 7,508.58 = 3,233 : x
  2. Step 2: Convert to fraction form
    5,441/7,508.58 = 3,233/x
  3. Step 3: Cross multiply
    5,441x = 7,508.58 × 3,233
  4. Step 4: Simplify right side
    5,441x = 24,275,239.14
  5. Step 5: Solve for x
    x = 24,275,239.14/5,441
  6. Step 6: Final answer
    x = 4,461.54

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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.