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Finding the Fourth Proportional to 2,970.39, 4,086.09 and 2,850.51

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Solution

The fourth proportional to 2,970.39, 4,086.09 and 2,850.51 is: 3,921.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.39 : 4,086.09 = 2,850.51 : x
  2. Step 2: Convert to fraction form
    2,970.39/4,086.09 = 2,850.51/x
  3. Step 3: Cross multiply
    2,970.39x = 4,086.09 × 2,850.51
  4. Step 4: Simplify right side
    2,970.39x = 11,647,440.41
  5. Step 5: Solve for x
    x = 11,647,440.41/2,970.39
  6. Step 6: Final answer
    x = 3,921.18

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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.