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Finding the Fourth Proportional to 5,424.84, 8,137.44 and 1,727.16

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Solution

The fourth proportional to 5,424.84, 8,137.44 and 1,727.16 is: 2,590.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.84 : 8,137.44 = 1,727.16 : x
  2. Step 2: Convert to fraction form
    5,424.84/8,137.44 = 1,727.16/x
  3. Step 3: Cross multiply
    5,424.84x = 8,137.44 × 1,727.16
  4. Step 4: Simplify right side
    5,424.84x = 14,054,660.87
  5. Step 5: Solve for x
    x = 14,054,660.87/5,424.84
  6. Step 6: Final answer
    x = 2,590.80

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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.