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Finding the Fourth Proportional to 5,164.58, 7,747.77 and 1,882.26

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Solution

The fourth proportional to 5,164.58, 7,747.77 and 1,882.26 is: 2,823.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.58 : 7,747.77 = 1,882.26 : x
  2. Step 2: Convert to fraction form
    5,164.58/7,747.77 = 1,882.26/x
  3. Step 3: Cross multiply
    5,164.58x = 7,747.77 × 1,882.26
  4. Step 4: Simplify right side
    5,164.58x = 14,583,317.56
  5. Step 5: Solve for x
    x = 14,583,317.56/5,164.58
  6. Step 6: Final answer
    x = 2,823.72

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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.