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Finding the Fourth Proportional to 3,847.14, 5,293.98 and 3,733.20

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Solution

The fourth proportional to 3,847.14, 5,293.98 and 3,733.20 is: 5,137.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.14 : 5,293.98 = 3,733.20 : x
  2. Step 2: Convert to fraction form
    3,847.14/5,293.98 = 3,733.20/x
  3. Step 3: Cross multiply
    3,847.14x = 5,293.98 × 3,733.20
  4. Step 4: Simplify right side
    3,847.14x = 19,763,486.14
  5. Step 5: Solve for x
    x = 19,763,486.14/3,847.14
  6. Step 6: Final answer
    x = 5,137.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.