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Finding the Fourth Proportional to 3,591.97, 5,386.50 and 1,743.95

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Solution

The fourth proportional to 3,591.97, 5,386.50 and 1,743.95 is: 2,615.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.97 : 5,386.50 = 1,743.95 : x
  2. Step 2: Convert to fraction form
    3,591.97/5,386.50 = 1,743.95/x
  3. Step 3: Cross multiply
    3,591.97x = 5,386.50 × 1,743.95
  4. Step 4: Simplify right side
    3,591.97x = 9,393,800.14
  5. Step 5: Solve for x
    x = 9,393,800.14/3,591.97
  6. Step 6: Final answer
    x = 2,615.22

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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.