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Finding the Fourth Proportional to 3,694.37, 5,536.92 and 1,846.00

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Solution

The fourth proportional to 3,694.37, 5,536.92 and 1,846.00 is: 2,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.37 : 5,536.92 = 1,846.00 : x
  2. Step 2: Convert to fraction form
    3,694.37/5,536.92 = 1,846.00/x
  3. Step 3: Cross multiply
    3,694.37x = 5,536.92 × 1,846.00
  4. Step 4: Simplify right side
    3,694.37x = 10,221,126.64
  5. Step 5: Solve for x
    x = 10,221,126.64/3,694.37
  6. Step 6: Final answer
    x = 2,766.68

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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.