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Finding the Fourth Proportional to 5,197.32, 7,171.98 and 2,959.74

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Solution

The fourth proportional to 5,197.32, 7,171.98 and 2,959.74 is: 4,084.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.32 : 7,171.98 = 2,959.74 : x
  2. Step 2: Convert to fraction form
    5,197.32/7,171.98 = 2,959.74/x
  3. Step 3: Cross multiply
    5,197.32x = 7,171.98 × 2,959.74
  4. Step 4: Simplify right side
    5,197.32x = 21,227,196.09
  5. Step 5: Solve for x
    x = 21,227,196.09/5,197.32
  6. Step 6: Final answer
    x = 4,084.26

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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.