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Finding the Fourth Proportional to 5,971.96, 8,241.47 and 3,453.83

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Solution

The fourth proportional to 5,971.96, 8,241.47 and 3,453.83 is: 4,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.96 : 8,241.47 = 3,453.83 : x
  2. Step 2: Convert to fraction form
    5,971.96/8,241.47 = 3,453.83/x
  3. Step 3: Cross multiply
    5,971.96x = 8,241.47 × 3,453.83
  4. Step 4: Simplify right side
    5,971.96x = 28,464,603.76
  5. Step 5: Solve for x
    x = 28,464,603.76/5,971.96
  6. Step 6: Final answer
    x = 4,766.38

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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.