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Finding the Fourth Proportional to 5,533, 8,298.54 and 2,247.88

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Solution

The fourth proportional to 5,533, 8,298.54 and 2,247.88 is: 3,371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,533 : 8,298.54 = 2,247.88 : x
  2. Step 2: Convert to fraction form
    5,533/8,298.54 = 2,247.88/x
  3. Step 3: Cross multiply
    5,533x = 8,298.54 × 2,247.88
  4. Step 4: Simplify right side
    5,533x = 18,654,122.10
  5. Step 5: Solve for x
    x = 18,654,122.10/5,533
  6. Step 6: Final answer
    x = 3,371.43

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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.