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Finding the Fourth Proportional to 5,249.96, 7,874.64 and 1,354.56

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Solution

The fourth proportional to 5,249.96, 7,874.64 and 1,354.56 is: 2,031.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.96 : 7,874.64 = 1,354.56 : x
  2. Step 2: Convert to fraction form
    5,249.96/7,874.64 = 1,354.56/x
  3. Step 3: Cross multiply
    5,249.96x = 7,874.64 × 1,354.56
  4. Step 4: Simplify right side
    5,249.96x = 10,666,672.36
  5. Step 5: Solve for x
    x = 10,666,672.36/5,249.96
  6. Step 6: Final answer
    x = 2,031.76

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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.