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Finding the Fourth Proportional to 5,197.32, 7,172.10 and 2,959.32

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Solution

The fourth proportional to 5,197.32, 7,172.10 and 2,959.32 is: 4,083.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.32 : 7,172.10 = 2,959.32 : x
  2. Step 2: Convert to fraction form
    5,197.32/7,172.10 = 2,959.32/x
  3. Step 3: Cross multiply
    5,197.32x = 7,172.10 × 2,959.32
  4. Step 4: Simplify right side
    5,197.32x = 21,224,538.97
  5. Step 5: Solve for x
    x = 21,224,538.97/5,197.32
  6. Step 6: Final answer
    x = 4,083.75

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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.