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Finding the Fourth Proportional to 3,795.93, 5,695.11 and 3,178.17

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Solution

The fourth proportional to 3,795.93, 5,695.11 and 3,178.17 is: 4,768.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.93 : 5,695.11 = 3,178.17 : x
  2. Step 2: Convert to fraction form
    3,795.93/5,695.11 = 3,178.17/x
  3. Step 3: Cross multiply
    3,795.93x = 5,695.11 × 3,178.17
  4. Step 4: Simplify right side
    3,795.93x = 18,100,027.75
  5. Step 5: Solve for x
    x = 18,100,027.75/3,795.93
  6. Step 6: Final answer
    x = 4,768.27

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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.