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Finding the Fourth Proportional to 3,400.86, 4,692 and 1,908.57

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Solution

The fourth proportional to 3,400.86, 4,692 and 1,908.57 is: 2,633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.86 : 4,692 = 1,908.57 : x
  2. Step 2: Convert to fraction form
    3,400.86/4,692 = 1,908.57/x
  3. Step 3: Cross multiply
    3,400.86x = 4,692 × 1,908.57
  4. Step 4: Simplify right side
    3,400.86x = 8,955,010.44
  5. Step 5: Solve for x
    x = 8,955,010.44/3,400.86
  6. Step 6: Final answer
    x = 2,633.16

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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.