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Finding the Fourth Proportional to 3,626.70, 5,002.07 and 2,431.32

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Solution

The fourth proportional to 3,626.70, 5,002.07 and 2,431.32 is: 3,353.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.70 : 5,002.07 = 2,431.32 : x
  2. Step 2: Convert to fraction form
    3,626.70/5,002.07 = 2,431.32/x
  3. Step 3: Cross multiply
    3,626.70x = 5,002.07 × 2,431.32
  4. Step 4: Simplify right side
    3,626.70x = 12,161,632.83
  5. Step 5: Solve for x
    x = 12,161,632.83/3,626.70
  6. Step 6: Final answer
    x = 3,353.36

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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.