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Finding the Fourth Proportional to 5,744.25, 7,926.87 and 3,509.87

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Solution

The fourth proportional to 5,744.25, 7,926.87 and 3,509.87 is: 4,843.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.25 : 7,926.87 = 3,509.87 : x
  2. Step 2: Convert to fraction form
    5,744.25/7,926.87 = 3,509.87/x
  3. Step 3: Cross multiply
    5,744.25x = 7,926.87 × 3,509.87
  4. Step 4: Simplify right side
    5,744.25x = 27,822,226.02
  5. Step 5: Solve for x
    x = 27,822,226.02/5,744.25
  6. Step 6: Final answer
    x = 4,843.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.