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Finding the Fourth Proportional to 3,456.45, 5,185.47 and 991.29

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Solution

The fourth proportional to 3,456.45, 5,185.47 and 991.29 is: 1,487.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.45 : 5,185.47 = 991.29 : x
  2. Step 2: Convert to fraction form
    3,456.45/5,185.47 = 991.29/x
  3. Step 3: Cross multiply
    3,456.45x = 5,185.47 × 991.29
  4. Step 4: Simplify right side
    3,456.45x = 5,140,304.56
  5. Step 5: Solve for x
    x = 5,140,304.56/3,456.45
  6. Step 6: Final answer
    x = 1,487.16

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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.