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Finding the Fourth Proportional to 5,239.56, 7,859.16 and 1,776.84

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Solution

The fourth proportional to 5,239.56, 7,859.16 and 1,776.84 is: 2,665.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.56 : 7,859.16 = 1,776.84 : x
  2. Step 2: Convert to fraction form
    5,239.56/7,859.16 = 1,776.84/x
  3. Step 3: Cross multiply
    5,239.56x = 7,859.16 × 1,776.84
  4. Step 4: Simplify right side
    5,239.56x = 13,964,469.85
  5. Step 5: Solve for x
    x = 13,964,469.85/5,239.56
  6. Step 6: Final answer
    x = 2,665.20

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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.