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Finding the Fourth Proportional to 3,467.57, 4,786.13 and 2,140.51

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Solution

The fourth proportional to 3,467.57, 4,786.13 and 2,140.51 is: 2,954.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.57 : 4,786.13 = 2,140.51 : x
  2. Step 2: Convert to fraction form
    3,467.57/4,786.13 = 2,140.51/x
  3. Step 3: Cross multiply
    3,467.57x = 4,786.13 × 2,140.51
  4. Step 4: Simplify right side
    3,467.57x = 10,244,761.49
  5. Step 5: Solve for x
    x = 10,244,761.49/3,467.57
  6. Step 6: Final answer
    x = 2,954.45

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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.