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Finding the Fourth Proportional to 4,833.05, 7,249.34 and 1,713

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Solution

The fourth proportional to 4,833.05, 7,249.34 and 1,713 is: 2,569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.05 : 7,249.34 = 1,713 : x
  2. Step 2: Convert to fraction form
    4,833.05/7,249.34 = 1,713/x
  3. Step 3: Cross multiply
    4,833.05x = 7,249.34 × 1,713
  4. Step 4: Simplify right side
    4,833.05x = 12,418,119.42
  5. Step 5: Solve for x
    x = 12,418,119.42/4,833.05
  6. Step 6: Final answer
    x = 2,569.42

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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.