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Finding the Fourth Proportional to 3,892.17, 5,836.19 and 1,698.34

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Solution

The fourth proportional to 3,892.17, 5,836.19 and 1,698.34 is: 2,546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.17 : 5,836.19 = 1,698.34 : x
  2. Step 2: Convert to fraction form
    3,892.17/5,836.19 = 1,698.34/x
  3. Step 3: Cross multiply
    3,892.17x = 5,836.19 × 1,698.34
  4. Step 4: Simplify right side
    3,892.17x = 9,911,805.74
  5. Step 5: Solve for x
    x = 9,911,805.74/3,892.17
  6. Step 6: Final answer
    x = 2,546.60

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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.