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Finding the Fourth Proportional to 5,971.88, 8,241.14 and 3,319.22

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Solution

The fourth proportional to 5,971.88, 8,241.14 and 3,319.22 is: 4,580.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.88 : 8,241.14 = 3,319.22 : x
  2. Step 2: Convert to fraction form
    5,971.88/8,241.14 = 3,319.22/x
  3. Step 3: Cross multiply
    5,971.88x = 8,241.14 × 3,319.22
  4. Step 4: Simplify right side
    5,971.88x = 27,354,156.71
  5. Step 5: Solve for x
    x = 27,354,156.71/5,971.88
  6. Step 6: Final answer
    x = 4,580.49

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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.