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Finding the Fourth Proportional to 3,753.99, 5,633.42 and 2,113.74

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Solution

The fourth proportional to 3,753.99, 5,633.42 and 2,113.74 is: 3,171.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.99 : 5,633.42 = 2,113.74 : x
  2. Step 2: Convert to fraction form
    3,753.99/5,633.42 = 2,113.74/x
  3. Step 3: Cross multiply
    3,753.99x = 5,633.42 × 2,113.74
  4. Step 4: Simplify right side
    3,753.99x = 11,907,574.62
  5. Step 5: Solve for x
    x = 11,907,574.62/3,753.99
  6. Step 6: Final answer
    x = 3,171.98

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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.