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Finding the Fourth Proportional to 3,647.22, 5,031.99 and 2,155.64

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Solution

The fourth proportional to 3,647.22, 5,031.99 and 2,155.64 is: 2,974.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.22 : 5,031.99 = 2,155.64 : x
  2. Step 2: Convert to fraction form
    3,647.22/5,031.99 = 2,155.64/x
  3. Step 3: Cross multiply
    3,647.22x = 5,031.99 × 2,155.64
  4. Step 4: Simplify right side
    3,647.22x = 10,847,133.76
  5. Step 5: Solve for x
    x = 10,847,133.76/3,647.22
  6. Step 6: Final answer
    x = 2,974.09

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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.