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Finding the Fourth Proportional to 4,116.98, 6,175.29 and 1,195.22

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Solution

The fourth proportional to 4,116.98, 6,175.29 and 1,195.22 is: 1,792.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.98 : 6,175.29 = 1,195.22 : x
  2. Step 2: Convert to fraction form
    4,116.98/6,175.29 = 1,195.22/x
  3. Step 3: Cross multiply
    4,116.98x = 6,175.29 × 1,195.22
  4. Step 4: Simplify right side
    4,116.98x = 7,380,830.11
  5. Step 5: Solve for x
    x = 7,380,830.11/4,116.98
  6. Step 6: Final answer
    x = 1,792.78

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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.