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Finding the Fourth Proportional to 3,863.54, 5,767.34 and 3,396.46

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Solution

The fourth proportional to 3,863.54, 5,767.34 and 3,396.46 is: 5,070.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.54 : 5,767.34 = 3,396.46 : x
  2. Step 2: Convert to fraction form
    3,863.54/5,767.34 = 3,396.46/x
  3. Step 3: Cross multiply
    3,863.54x = 5,767.34 × 3,396.46
  4. Step 4: Simplify right side
    3,863.54x = 19,588,539.62
  5. Step 5: Solve for x
    x = 19,588,539.62/3,863.54
  6. Step 6: Final answer
    x = 5,070.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.