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Finding the Fourth Proportional to 5,132.95, 7,696.68 and 2,665.29

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Solution

The fourth proportional to 5,132.95, 7,696.68 and 2,665.29 is: 3,996.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.95 : 7,696.68 = 2,665.29 : x
  2. Step 2: Convert to fraction form
    5,132.95/7,696.68 = 2,665.29/x
  3. Step 3: Cross multiply
    5,132.95x = 7,696.68 × 2,665.29
  4. Step 4: Simplify right side
    5,132.95x = 20,513,884.24
  5. Step 5: Solve for x
    x = 20,513,884.24/5,132.95
  6. Step 6: Final answer
    x = 3,996.51

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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.