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Finding the Fourth Proportional to 3,750.90, 5,198.12 and 3,698.06

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Solution

The fourth proportional to 3,750.90, 5,198.12 and 3,698.06 is: 5,124.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.90 : 5,198.12 = 3,698.06 : x
  2. Step 2: Convert to fraction form
    3,750.90/5,198.12 = 3,698.06/x
  3. Step 3: Cross multiply
    3,750.90x = 5,198.12 × 3,698.06
  4. Step 4: Simplify right side
    3,750.90x = 19,222,915.17
  5. Step 5: Solve for x
    x = 19,222,915.17/3,750.90
  6. Step 6: Final answer
    x = 5,124.88

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.