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Finding the Fourth Proportional to 3,884.79, 5,360.88 and 2,206.38

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Solution

The fourth proportional to 3,884.79, 5,360.88 and 2,206.38 is: 3,044.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.79 : 5,360.88 = 2,206.38 : x
  2. Step 2: Convert to fraction form
    3,884.79/5,360.88 = 2,206.38/x
  3. Step 3: Cross multiply
    3,884.79x = 5,360.88 × 2,206.38
  4. Step 4: Simplify right side
    3,884.79x = 11,828,138.41
  5. Step 5: Solve for x
    x = 11,828,138.41/3,884.79
  6. Step 6: Final answer
    x = 3,044.73

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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.