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Finding the Fourth Proportional to 5,938.21, 8,194.71 and 3,580.48

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Solution

The fourth proportional to 5,938.21, 8,194.71 and 3,580.48 is: 4,941.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.21 : 8,194.71 = 3,580.48 : x
  2. Step 2: Convert to fraction form
    5,938.21/8,194.71 = 3,580.48/x
  3. Step 3: Cross multiply
    5,938.21x = 8,194.71 × 3,580.48
  4. Step 4: Simplify right side
    5,938.21x = 29,340,995.26
  5. Step 5: Solve for x
    x = 29,340,995.26/5,938.21
  6. Step 6: Final answer
    x = 4,941.05

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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.