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Finding the Fourth Proportional to 5,918.16, 8,164.44 and 4,149.12

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Solution

The fourth proportional to 5,918.16, 8,164.44 and 4,149.12 is: 5,723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,918.16 : 8,164.44 = 4,149.12 : x
  2. Step 2: Convert to fraction form
    5,918.16/8,164.44 = 4,149.12/x
  3. Step 3: Cross multiply
    5,918.16x = 8,164.44 × 4,149.12
  4. Step 4: Simplify right side
    5,918.16x = 33,875,241.29
  5. Step 5: Solve for x
    x = 33,875,241.29/5,918.16
  6. Step 6: Final answer
    x = 5,723.95

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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.