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Finding the Fourth Proportional to 4,116.70, 6,175.67 and 1,519.42

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Solution

The fourth proportional to 4,116.70, 6,175.67 and 1,519.42 is: 2,279.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.70 : 6,175.67 = 1,519.42 : x
  2. Step 2: Convert to fraction form
    4,116.70/6,175.67 = 1,519.42/x
  3. Step 3: Cross multiply
    4,116.70x = 6,175.67 × 1,519.42
  4. Step 4: Simplify right side
    4,116.70x = 9,383,436.51
  5. Step 5: Solve for x
    x = 9,383,436.51/4,116.70
  6. Step 6: Final answer
    x = 2,279.36

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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.