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Finding the Fourth Proportional to 5,907.28, 8,150.92 and 3,698

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Solution

The fourth proportional to 5,907.28, 8,150.92 and 3,698 is: 5,102.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,907.28 : 8,150.92 = 3,698 : x
  2. Step 2: Convert to fraction form
    5,907.28/8,150.92 = 3,698/x
  3. Step 3: Cross multiply
    5,907.28x = 8,150.92 × 3,698
  4. Step 4: Simplify right side
    5,907.28x = 30,142,102.16
  5. Step 5: Solve for x
    x = 30,142,102.16/5,907.28
  6. Step 6: Final answer
    x = 5,102.53

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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.