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Finding the Fourth Proportional to 3,237.72, 4,468.06 and 1,911.44

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Solution

The fourth proportional to 3,237.72, 4,468.06 and 1,911.44 is: 2,637.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.72 : 4,468.06 = 1,911.44 : x
  2. Step 2: Convert to fraction form
    3,237.72/4,468.06 = 1,911.44/x
  3. Step 3: Cross multiply
    3,237.72x = 4,468.06 × 1,911.44
  4. Step 4: Simplify right side
    3,237.72x = 8,540,428.61
  5. Step 5: Solve for x
    x = 8,540,428.61/3,237.72
  6. Step 6: Final answer
    x = 2,637.79

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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.