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Finding the Fourth Proportional to 3,673.88, 5,500.02 and 2,282.76

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Solution

The fourth proportional to 3,673.88, 5,500.02 and 2,282.76 is: 3,417.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.88 : 5,500.02 = 2,282.76 : x
  2. Step 2: Convert to fraction form
    3,673.88/5,500.02 = 2,282.76/x
  3. Step 3: Cross multiply
    3,673.88x = 5,500.02 × 2,282.76
  4. Step 4: Simplify right side
    3,673.88x = 12,555,225.66
  5. Step 5: Solve for x
    x = 12,555,225.66/3,673.88
  6. Step 6: Final answer
    x = 3,417.43

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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.