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Finding the Fourth Proportional to 4,802.72, 7,200.24 and 3,223.12

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Solution

The fourth proportional to 4,802.72, 7,200.24 and 3,223.12 is: 4,832.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.72 : 7,200.24 = 3,223.12 : x
  2. Step 2: Convert to fraction form
    4,802.72/7,200.24 = 3,223.12/x
  3. Step 3: Cross multiply
    4,802.72x = 7,200.24 × 3,223.12
  4. Step 4: Simplify right side
    4,802.72x = 23,207,213.63
  5. Step 5: Solve for x
    x = 23,207,213.63/4,802.72
  6. Step 6: Final answer
    x = 4,832.10

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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.