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Finding the Fourth Proportional to 3,796.59, 5,698.44 and 2,338.59

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Solution

The fourth proportional to 3,796.59, 5,698.44 and 2,338.59 is: 3,510.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.59 : 5,698.44 = 2,338.59 : x
  2. Step 2: Convert to fraction form
    3,796.59/5,698.44 = 2,338.59/x
  3. Step 3: Cross multiply
    3,796.59x = 5,698.44 × 2,338.59
  4. Step 4: Simplify right side
    3,796.59x = 13,326,314.80
  5. Step 5: Solve for x
    x = 13,326,314.80/3,796.59
  6. Step 6: Final answer
    x = 3,510.07

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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.