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Finding the Fourth Proportional to 4,466.67, 6,700.92 and 2,000.22

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Solution

The fourth proportional to 4,466.67, 6,700.92 and 2,000.22 is: 3,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.67 : 6,700.92 = 2,000.22 : x
  2. Step 2: Convert to fraction form
    4,466.67/6,700.92 = 2,000.22/x
  3. Step 3: Cross multiply
    4,466.67x = 6,700.92 × 2,000.22
  4. Step 4: Simplify right side
    4,466.67x = 13,403,314.20
  5. Step 5: Solve for x
    x = 13,403,314.20/4,466.67
  6. Step 6: Final answer
    x = 3,000.74

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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.