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Finding the Fourth Proportional to 5,971.62, 8,945.11 and 3,498.94

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Solution

The fourth proportional to 5,971.62, 8,945.11 and 3,498.94 is: 5,241.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.62 : 8,945.11 = 3,498.94 : x
  2. Step 2: Convert to fraction form
    5,971.62/8,945.11 = 3,498.94/x
  3. Step 3: Cross multiply
    5,971.62x = 8,945.11 × 3,498.94
  4. Step 4: Simplify right side
    5,971.62x = 31,298,403.18
  5. Step 5: Solve for x
    x = 31,298,403.18/5,971.62
  6. Step 6: Final answer
    x = 5,241.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.