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Finding the Fourth Proportional to 5,172.68, 7,746.62 and 2,829.17

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Solution

The fourth proportional to 5,172.68, 7,746.62 and 2,829.17 is: 4,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.68 : 7,746.62 = 2,829.17 : x
  2. Step 2: Convert to fraction form
    5,172.68/7,746.62 = 2,829.17/x
  3. Step 3: Cross multiply
    5,172.68x = 7,746.62 × 2,829.17
  4. Step 4: Simplify right side
    5,172.68x = 21,916,452.03
  5. Step 5: Solve for x
    x = 21,916,452.03/5,172.68
  6. Step 6: Final answer
    x = 4,236.97

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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.