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Finding the Fourth Proportional to 3,697.26, 5,549.64 and 1,849.70

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Solution

The fourth proportional to 3,697.26, 5,549.64 and 1,849.70 is: 2,776.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.26 : 5,549.64 = 1,849.70 : x
  2. Step 2: Convert to fraction form
    3,697.26/5,549.64 = 1,849.70/x
  3. Step 3: Cross multiply
    3,697.26x = 5,549.64 × 1,849.70
  4. Step 4: Simplify right side
    3,697.26x = 10,265,169.11
  5. Step 5: Solve for x
    x = 10,265,169.11/3,697.26
  6. Step 6: Final answer
    x = 2,776.43

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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.