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Finding the Fourth Proportional to 5,005.72, 7,508.22 and 2,232.64

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Solution

The fourth proportional to 5,005.72, 7,508.22 and 2,232.64 is: 3,348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.72 : 7,508.22 = 2,232.64 : x
  2. Step 2: Convert to fraction form
    5,005.72/7,508.22 = 2,232.64/x
  3. Step 3: Cross multiply
    5,005.72x = 7,508.22 × 2,232.64
  4. Step 4: Simplify right side
    5,005.72x = 16,763,152.30
  5. Step 5: Solve for x
    x = 16,763,152.30/5,005.72
  6. Step 6: Final answer
    x = 3,348.80

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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.