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Finding the Fourth Proportional to 3,921.49, 5,878.62 and 1,698.92

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Solution

The fourth proportional to 3,921.49, 5,878.62 and 1,698.92 is: 2,546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.49 : 5,878.62 = 1,698.92 : x
  2. Step 2: Convert to fraction form
    3,921.49/5,878.62 = 1,698.92/x
  3. Step 3: Cross multiply
    3,921.49x = 5,878.62 × 1,698.92
  4. Step 4: Simplify right side
    3,921.49x = 9,987,329.26
  5. Step 5: Solve for x
    x = 9,987,329.26/3,921.49
  6. Step 6: Final answer
    x = 2,546.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.