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Finding the Fourth Proportional to 3,466.72, 5,188.20 and 3,002.32

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Solution

The fourth proportional to 3,466.72, 5,188.20 and 3,002.32 is: 4,493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.72 : 5,188.20 = 3,002.32 : x
  2. Step 2: Convert to fraction form
    3,466.72/5,188.20 = 3,002.32/x
  3. Step 3: Cross multiply
    3,466.72x = 5,188.20 × 3,002.32
  4. Step 4: Simplify right side
    3,466.72x = 15,576,636.62
  5. Step 5: Solve for x
    x = 15,576,636.62/3,466.72
  6. Step 6: Final answer
    x = 4,493.19

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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.