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Finding the Fourth Proportional to 3,468.78, 5,204.54 and 1,519.62

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Solution

The fourth proportional to 3,468.78, 5,204.54 and 1,519.62 is: 2,280.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.78 : 5,204.54 = 1,519.62 : x
  2. Step 2: Convert to fraction form
    3,468.78/5,204.54 = 1,519.62/x
  3. Step 3: Cross multiply
    3,468.78x = 5,204.54 × 1,519.62
  4. Step 4: Simplify right side
    3,468.78x = 7,908,926.87
  5. Step 5: Solve for x
    x = 7,908,926.87/3,468.78
  6. Step 6: Final answer
    x = 2,280.03

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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.