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Finding the Fourth Proportional to 3,583.44, 4,951.73 and 2,874.18

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Solution

The fourth proportional to 3,583.44, 4,951.73 and 2,874.18 is: 3,971.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.44 : 4,951.73 = 2,874.18 : x
  2. Step 2: Convert to fraction form
    3,583.44/4,951.73 = 2,874.18/x
  3. Step 3: Cross multiply
    3,583.44x = 4,951.73 × 2,874.18
  4. Step 4: Simplify right side
    3,583.44x = 14,232,189.09
  5. Step 5: Solve for x
    x = 14,232,189.09/3,583.44
  6. Step 6: Final answer
    x = 3,971.66

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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.