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Finding the Fourth Proportional to 3,626.79, 5,005.78 and 2,055.75

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Solution

The fourth proportional to 3,626.79, 5,005.78 and 2,055.75 is: 2,837.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.79 : 5,005.78 = 2,055.75 : x
  2. Step 2: Convert to fraction form
    3,626.79/5,005.78 = 2,055.75/x
  3. Step 3: Cross multiply
    3,626.79x = 5,005.78 × 2,055.75
  4. Step 4: Simplify right side
    3,626.79x = 10,290,632.24
  5. Step 5: Solve for x
    x = 10,290,632.24/3,626.79
  6. Step 6: Final answer
    x = 2,837.39

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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.