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Finding the Fourth Proportional to 5,234.84, 7,853.16 and 1,771.28

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Solution

The fourth proportional to 5,234.84, 7,853.16 and 1,771.28 is: 2,657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.84 : 7,853.16 = 1,771.28 : x
  2. Step 2: Convert to fraction form
    5,234.84/7,853.16 = 1,771.28/x
  3. Step 3: Cross multiply
    5,234.84x = 7,853.16 × 1,771.28
  4. Step 4: Simplify right side
    5,234.84x = 13,910,145.24
  5. Step 5: Solve for x
    x = 13,910,145.24/5,234.84
  6. Step 6: Final answer
    x = 2,657.22

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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.