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Finding the Fourth Proportional to 3,497.43, 5,265.29 and 3,191.25

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Solution

The fourth proportional to 3,497.43, 5,265.29 and 3,191.25 is: 4,804.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.43 : 5,265.29 = 3,191.25 : x
  2. Step 2: Convert to fraction form
    3,497.43/5,265.29 = 3,191.25/x
  3. Step 3: Cross multiply
    3,497.43x = 5,265.29 × 3,191.25
  4. Step 4: Simplify right side
    3,497.43x = 16,802,845.84
  5. Step 5: Solve for x
    x = 16,802,845.84/3,497.43
  6. Step 6: Final answer
    x = 4,804.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.