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Finding the Fourth Proportional to 5,971.52, 8,241.80 and 3,419.26

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Solution

The fourth proportional to 5,971.52, 8,241.80 and 3,419.26 is: 4,719.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.52 : 8,241.80 = 3,419.26 : x
  2. Step 2: Convert to fraction form
    5,971.52/8,241.80 = 3,419.26/x
  3. Step 3: Cross multiply
    5,971.52x = 8,241.80 × 3,419.26
  4. Step 4: Simplify right side
    5,971.52x = 28,180,884.96
  5. Step 5: Solve for x
    x = 28,180,884.96/5,971.52
  6. Step 6: Final answer
    x = 4,719.21

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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.