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Finding the Fourth Proportional to 4,773.26, 7,162.88 and 2,002.25

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Solution

The fourth proportional to 4,773.26, 7,162.88 and 2,002.25 is: 3,004.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.26 : 7,162.88 = 2,002.25 : x
  2. Step 2: Convert to fraction form
    4,773.26/7,162.88 = 2,002.25/x
  3. Step 3: Cross multiply
    4,773.26x = 7,162.88 × 2,002.25
  4. Step 4: Simplify right side
    4,773.26x = 14,341,884.38
  5. Step 5: Solve for x
    x = 14,341,884.38/4,773.26
  6. Step 6: Final answer
    x = 3,004.63

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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.