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Finding the Fourth Proportional to 5,172.93, 7,138.62 and 2,815.02

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Solution

The fourth proportional to 5,172.93, 7,138.62 and 2,815.02 is: 3,884.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.93 : 7,138.62 = 2,815.02 : x
  2. Step 2: Convert to fraction form
    5,172.93/7,138.62 = 2,815.02/x
  3. Step 3: Cross multiply
    5,172.93x = 7,138.62 × 2,815.02
  4. Step 4: Simplify right side
    5,172.93x = 20,095,358.07
  5. Step 5: Solve for x
    x = 20,095,358.07/5,172.93
  6. Step 6: Final answer
    x = 3,884.71

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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.