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Finding the Fourth Proportional to 3,474.90, 4,796.82 and 2,297.57

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Solution

The fourth proportional to 3,474.90, 4,796.82 and 2,297.57 is: 3,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.90 : 4,796.82 = 2,297.57 : x
  2. Step 2: Convert to fraction form
    3,474.90/4,796.82 = 2,297.57/x
  3. Step 3: Cross multiply
    3,474.90x = 4,796.82 × 2,297.57
  4. Step 4: Simplify right side
    3,474.90x = 11,021,005.74
  5. Step 5: Solve for x
    x = 11,021,005.74/3,474.90
  6. Step 6: Final answer
    x = 3,171.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.