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Finding the Fourth Proportional to 3,953.78, 5,936.84 and 3,778.50

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Solution

The fourth proportional to 3,953.78, 5,936.84 and 3,778.50 is: 5,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.78 : 5,936.84 = 3,778.50 : x
  2. Step 2: Convert to fraction form
    3,953.78/5,936.84 = 3,778.50/x
  3. Step 3: Cross multiply
    3,953.78x = 5,936.84 × 3,778.50
  4. Step 4: Simplify right side
    3,953.78x = 22,432,349.94
  5. Step 5: Solve for x
    x = 22,432,349.94/3,953.78
  6. Step 6: Final answer
    x = 5,673.65

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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.