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Finding the Fourth Proportional to 3,694.87, 5,537.67 and 1,846.50

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Solution

The fourth proportional to 3,694.87, 5,537.67 and 1,846.50 is: 2,767.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.87 : 5,537.67 = 1,846.50 : x
  2. Step 2: Convert to fraction form
    3,694.87/5,537.67 = 1,846.50/x
  3. Step 3: Cross multiply
    3,694.87x = 5,537.67 × 1,846.50
  4. Step 4: Simplify right side
    3,694.87x = 10,225,307.66
  5. Step 5: Solve for x
    x = 10,225,307.66/3,694.87
  6. Step 6: Final answer
    x = 2,767.43

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.