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Finding the Fourth Proportional to 3,754.58, 5,623.41 and 1,808.24

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Solution

The fourth proportional to 3,754.58, 5,623.41 and 1,808.24 is: 2,708.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.58 : 5,623.41 = 1,808.24 : x
  2. Step 2: Convert to fraction form
    3,754.58/5,623.41 = 1,808.24/x
  3. Step 3: Cross multiply
    3,754.58x = 5,623.41 × 1,808.24
  4. Step 4: Simplify right side
    3,754.58x = 10,168,474.90
  5. Step 5: Solve for x
    x = 10,168,474.90/3,754.58
  6. Step 6: Final answer
    x = 2,708.29

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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.