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Finding the Fourth Proportional to 5,717.49, 8,575.07 and 2,019.84

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Solution

The fourth proportional to 5,717.49, 8,575.07 and 2,019.84 is: 3,029.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.49 : 8,575.07 = 2,019.84 : x
  2. Step 2: Convert to fraction form
    5,717.49/8,575.07 = 2,019.84/x
  3. Step 3: Cross multiply
    5,717.49x = 8,575.07 × 2,019.84
  4. Step 4: Simplify right side
    5,717.49x = 17,320,227.13
  5. Step 5: Solve for x
    x = 17,320,227.13/5,717.49
  6. Step 6: Final answer
    x = 3,029.34

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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.