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Finding the Fourth Proportional to 5,338, 8,008.08 and 2,260

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Solution

The fourth proportional to 5,338, 8,008.08 and 2,260 is: 3,390.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338 : 8,008.08 = 2,260 : x
  2. Step 2: Convert to fraction form
    5,338/8,008.08 = 2,260/x
  3. Step 3: Cross multiply
    5,338x = 8,008.08 × 2,260
  4. Step 4: Simplify right side
    5,338x = 18,098,260.80
  5. Step 5: Solve for x
    x = 18,098,260.80/5,338
  6. Step 6: Final answer
    x = 3,390.46

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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.