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Finding the Fourth Proportional to 3,499.62, 5,247.90 and 1,855.80

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Solution

The fourth proportional to 3,499.62, 5,247.90 and 1,855.80 is: 2,782.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.62 : 5,247.90 = 1,855.80 : x
  2. Step 2: Convert to fraction form
    3,499.62/5,247.90 = 1,855.80/x
  3. Step 3: Cross multiply
    3,499.62x = 5,247.90 × 1,855.80
  4. Step 4: Simplify right side
    3,499.62x = 9,739,052.82
  5. Step 5: Solve for x
    x = 9,739,052.82/3,499.62
  6. Step 6: Final answer
    x = 2,782.89

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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.