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Finding the Fourth Proportional to 3,384.50, 5,078.27 and 2,151.59

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Solution

The fourth proportional to 3,384.50, 5,078.27 and 2,151.59 is: 3,228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.50 : 5,078.27 = 2,151.59 : x
  2. Step 2: Convert to fraction form
    3,384.50/5,078.27 = 2,151.59/x
  3. Step 3: Cross multiply
    3,384.50x = 5,078.27 × 2,151.59
  4. Step 4: Simplify right side
    3,384.50x = 10,926,354.95
  5. Step 5: Solve for x
    x = 10,926,354.95/3,384.50
  6. Step 6: Final answer
    x = 3,228.35

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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.