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Finding the Fourth Proportional to 3,101.62, 4,647.56 and 2,637.49

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Solution

The fourth proportional to 3,101.62, 4,647.56 and 2,637.49 is: 3,952.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.62 : 4,647.56 = 2,637.49 : x
  2. Step 2: Convert to fraction form
    3,101.62/4,647.56 = 2,637.49/x
  3. Step 3: Cross multiply
    3,101.62x = 4,647.56 × 2,637.49
  4. Step 4: Simplify right side
    3,101.62x = 12,257,893.02
  5. Step 5: Solve for x
    x = 12,257,893.02/3,101.62
  6. Step 6: Final answer
    x = 3,952.09

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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.