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Finding the Fourth Proportional to 3,670.67, 5,507.22 and 2,284.96

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Solution

The fourth proportional to 3,670.67, 5,507.22 and 2,284.96 is: 3,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.67 : 5,507.22 = 2,284.96 : x
  2. Step 2: Convert to fraction form
    3,670.67/5,507.22 = 2,284.96/x
  3. Step 3: Cross multiply
    3,670.67x = 5,507.22 × 2,284.96
  4. Step 4: Simplify right side
    3,670.67x = 12,583,777.41
  5. Step 5: Solve for x
    x = 12,583,777.41/3,670.67
  6. Step 6: Final answer
    x = 3,428.20

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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.