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Finding the Fourth Proportional to 5,172.47, 7,138.03 and 2,814.62

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Solution

The fourth proportional to 5,172.47, 7,138.03 and 2,814.62 is: 3,884.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.47 : 7,138.03 = 2,814.62 : x
  2. Step 2: Convert to fraction form
    5,172.47/7,138.03 = 2,814.62/x
  3. Step 3: Cross multiply
    5,172.47x = 7,138.03 × 2,814.62
  4. Step 4: Simplify right side
    5,172.47x = 20,090,799.27
  5. Step 5: Solve for x
    x = 20,090,799.27/5,172.47
  6. Step 6: Final answer
    x = 3,884.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.