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Finding the Fourth Proportional to 3,867.84, 5,794.92 and 2,404.80

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Solution

The fourth proportional to 3,867.84, 5,794.92 and 2,404.80 is: 3,602.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.84 : 5,794.92 = 2,404.80 : x
  2. Step 2: Convert to fraction form
    3,867.84/5,794.92 = 2,404.80/x
  3. Step 3: Cross multiply
    3,867.84x = 5,794.92 × 2,404.80
  4. Step 4: Simplify right side
    3,867.84x = 13,935,623.62
  5. Step 5: Solve for x
    x = 13,935,623.62/3,867.84
  6. Step 6: Final answer
    x = 3,602.95

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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.