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Finding the Fourth Proportional to 3,767.95, 5,651.99 and 994.91

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Solution

The fourth proportional to 3,767.95, 5,651.99 and 994.91 is: 1,492.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.95 : 5,651.99 = 994.91 : x
  2. Step 2: Convert to fraction form
    3,767.95/5,651.99 = 994.91/x
  3. Step 3: Cross multiply
    3,767.95x = 5,651.99 × 994.91
  4. Step 4: Simplify right side
    3,767.95x = 5,623,188.14
  5. Step 5: Solve for x
    x = 5,623,188.14/3,767.95
  6. Step 6: Final answer
    x = 1,492.37

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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.