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Finding the Fourth Proportional to 3,364.20, 5,008.55 and 3,348

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Solution

The fourth proportional to 3,364.20, 5,008.55 and 3,348 is: 4,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.20 : 5,008.55 = 3,348 : x
  2. Step 2: Convert to fraction form
    3,364.20/5,008.55 = 3,348/x
  3. Step 3: Cross multiply
    3,364.20x = 5,008.55 × 3,348
  4. Step 4: Simplify right side
    3,364.20x = 16,768,608.66
  5. Step 5: Solve for x
    x = 16,768,608.66/3,364.20
  6. Step 6: Final answer
    x = 4,984.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.