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Finding the Fourth Proportional to 3,850.83, 5,776.24 and 929.14

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Solution

The fourth proportional to 3,850.83, 5,776.24 and 929.14 is: 1,393.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.83 : 5,776.24 = 929.14 : x
  2. Step 2: Convert to fraction form
    3,850.83/5,776.24 = 929.14/x
  3. Step 3: Cross multiply
    3,850.83x = 5,776.24 × 929.14
  4. Step 4: Simplify right side
    3,850.83x = 5,366,906.75
  5. Step 5: Solve for x
    x = 5,366,906.75/3,850.83
  6. Step 6: Final answer
    x = 1,393.70

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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.