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Finding the Fourth Proportional to 3,462.51, 5,193.77 and 997.35

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Solution

The fourth proportional to 3,462.51, 5,193.77 and 997.35 is: 1,496.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.51 : 5,193.77 = 997.35 : x
  2. Step 2: Convert to fraction form
    3,462.51/5,193.77 = 997.35/x
  3. Step 3: Cross multiply
    3,462.51x = 5,193.77 × 997.35
  4. Step 4: Simplify right side
    3,462.51x = 5,179,982.05
  5. Step 5: Solve for x
    x = 5,179,982.05/3,462.51
  6. Step 6: Final answer
    x = 1,496.02

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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.