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Finding the Fourth Proportional to 3,337.23, 5,006.52 and 997.29

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Solution

The fourth proportional to 3,337.23, 5,006.52 and 997.29 is: 1,496.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337.23 : 5,006.52 = 997.29 : x
  2. Step 2: Convert to fraction form
    3,337.23/5,006.52 = 997.29/x
  3. Step 3: Cross multiply
    3,337.23x = 5,006.52 × 997.29
  4. Step 4: Simplify right side
    3,337.23x = 4,992,952.33
  5. Step 5: Solve for x
    x = 4,992,952.33/3,337.23
  6. Step 6: Final answer
    x = 1,496.14

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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.