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Finding the Fourth Proportional to 3,463.07, 5,193.86 and 997.43

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Solution

The fourth proportional to 3,463.07, 5,193.86 and 997.43 is: 1,495.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.07 : 5,193.86 = 997.43 : x
  2. Step 2: Convert to fraction form
    3,463.07/5,193.86 = 997.43/x
  3. Step 3: Cross multiply
    3,463.07x = 5,193.86 × 997.43
  4. Step 4: Simplify right side
    3,463.07x = 5,180,480.82
  5. Step 5: Solve for x
    x = 5,180,480.82/3,463.07
  6. Step 6: Final answer
    x = 1,495.92

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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.