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Finding the Fourth Proportional to 5,971.54, 8,241.38 and 3,454.33

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Solution

The fourth proportional to 5,971.54, 8,241.38 and 3,454.33 is: 4,767.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.54 : 8,241.38 = 3,454.33 : x
  2. Step 2: Convert to fraction form
    5,971.54/8,241.38 = 3,454.33/x
  3. Step 3: Cross multiply
    5,971.54x = 8,241.38 × 3,454.33
  4. Step 4: Simplify right side
    5,971.54x = 28,468,387.70
  5. Step 5: Solve for x
    x = 28,468,387.70/5,971.54
  6. Step 6: Final answer
    x = 4,767.35

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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.