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Finding the Fourth Proportional to 3,807.39, 5,254.32 and 2,105.92

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Solution

The fourth proportional to 3,807.39, 5,254.32 and 2,105.92 is: 2,906.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.39 : 5,254.32 = 2,105.92 : x
  2. Step 2: Convert to fraction form
    3,807.39/5,254.32 = 2,105.92/x
  3. Step 3: Cross multiply
    3,807.39x = 5,254.32 × 2,105.92
  4. Step 4: Simplify right side
    3,807.39x = 11,065,140.77
  5. Step 5: Solve for x
    x = 11,065,140.77/3,807.39
  6. Step 6: Final answer
    x = 2,906.23

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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.