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Finding the Fourth Proportional to 3,694.76, 5,100.56 and 2,370.44

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Solution

The fourth proportional to 3,694.76, 5,100.56 and 2,370.44 is: 3,272.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.76 : 5,100.56 = 2,370.44 : x
  2. Step 2: Convert to fraction form
    3,694.76/5,100.56 = 2,370.44/x
  3. Step 3: Cross multiply
    3,694.76x = 5,100.56 × 2,370.44
  4. Step 4: Simplify right side
    3,694.76x = 12,090,571.45
  5. Step 5: Solve for x
    x = 12,090,571.45/3,694.76
  6. Step 6: Final answer
    x = 3,272.36

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1.5x scale

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.