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Finding the Fourth Proportional to 3,456.62, 5,185.74 and 991.38

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Solution

The fourth proportional to 3,456.62, 5,185.74 and 991.38 is: 1,487.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.62 : 5,185.74 = 991.38 : x
  2. Step 2: Convert to fraction form
    3,456.62/5,185.74 = 991.38/x
  3. Step 3: Cross multiply
    3,456.62x = 5,185.74 × 991.38
  4. Step 4: Simplify right side
    3,456.62x = 5,141,038.92
  5. Step 5: Solve for x
    x = 5,141,038.92/3,456.62
  6. Step 6: Final answer
    x = 1,487.30

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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.