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Finding the Fourth Proportional to 5,239.35, 7,855.79 and 1,776.87

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Solution

The fourth proportional to 5,239.35, 7,855.79 and 1,776.87 is: 2,664.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.35 : 7,855.79 = 1,776.87 : x
  2. Step 2: Convert to fraction form
    5,239.35/7,855.79 = 1,776.87/x
  3. Step 3: Cross multiply
    5,239.35x = 7,855.79 × 1,776.87
  4. Step 4: Simplify right side
    5,239.35x = 13,958,708.69
  5. Step 5: Solve for x
    x = 13,958,708.69/5,239.35
  6. Step 6: Final answer
    x = 2,664.21

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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.