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Finding the Fourth Proportional to 3,516.90, 5,272.24 and 3,000.22

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Solution

The fourth proportional to 3,516.90, 5,272.24 and 3,000.22 is: 4,497.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516.90 : 5,272.24 = 3,000.22 : x
  2. Step 2: Convert to fraction form
    3,516.90/5,272.24 = 3,000.22/x
  3. Step 3: Cross multiply
    3,516.90x = 5,272.24 × 3,000.22
  4. Step 4: Simplify right side
    3,516.90x = 15,817,879.89
  5. Step 5: Solve for x
    x = 15,817,879.89/3,516.90
  6. Step 6: Final answer
    x = 4,497.68

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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.