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Finding the Fourth Proportional to 4,137.06, 5,709.15 and 2,274.06

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Solution

The fourth proportional to 4,137.06, 5,709.15 and 2,274.06 is: 3,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.06 : 5,709.15 = 2,274.06 : x
  2. Step 2: Convert to fraction form
    4,137.06/5,709.15 = 2,274.06/x
  3. Step 3: Cross multiply
    4,137.06x = 5,709.15 × 2,274.06
  4. Step 4: Simplify right side
    4,137.06x = 12,982,949.65
  5. Step 5: Solve for x
    x = 12,982,949.65/4,137.06
  6. Step 6: Final answer
    x = 3,138.21

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Double scale
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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.