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Finding the Fourth Proportional to 6,144.52, 8,479.42 and 3,350

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Solution

The fourth proportional to 6,144.52, 8,479.42 and 3,350 is: 4,622.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.52 : 8,479.42 = 3,350 : x
  2. Step 2: Convert to fraction form
    6,144.52/8,479.42 = 3,350/x
  3. Step 3: Cross multiply
    6,144.52x = 8,479.42 × 3,350
  4. Step 4: Simplify right side
    6,144.52x = 28,406,057
  5. Step 5: Solve for x
    x = 28,406,057/6,144.52
  6. Step 6: Final answer
    x = 4,622.99

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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.