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Finding the Fourth Proportional to 3,687.44, 5,089.74 and 2,946.56

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Solution

The fourth proportional to 3,687.44, 5,089.74 and 2,946.56 is: 4,067.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.44 : 5,089.74 = 2,946.56 : x
  2. Step 2: Convert to fraction form
    3,687.44/5,089.74 = 2,946.56/x
  3. Step 3: Cross multiply
    3,687.44x = 5,089.74 × 2,946.56
  4. Step 4: Simplify right side
    3,687.44x = 14,997,224.29
  5. Step 5: Solve for x
    x = 14,997,224.29/3,687.44
  6. Step 6: Final answer
    x = 4,067.11

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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.