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Finding the Fourth Proportional to 5,372.96, 8,057.82 and 1,910

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Solution

The fourth proportional to 5,372.96, 8,057.82 and 1,910 is: 2,864.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,372.96 : 8,057.82 = 1,910 : x
  2. Step 2: Convert to fraction form
    5,372.96/8,057.82 = 1,910/x
  3. Step 3: Cross multiply
    5,372.96x = 8,057.82 × 1,910
  4. Step 4: Simplify right side
    5,372.96x = 15,390,436.20
  5. Step 5: Solve for x
    x = 15,390,436.20/5,372.96
  6. Step 6: Final answer
    x = 2,864.42

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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.