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Finding the Fourth Proportional to 5,118.60, 7,677.90 and 3,822.60

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Solution

The fourth proportional to 5,118.60, 7,677.90 and 3,822.60 is: 5,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.60 : 7,677.90 = 3,822.60 : x
  2. Step 2: Convert to fraction form
    5,118.60/7,677.90 = 3,822.60/x
  3. Step 3: Cross multiply
    5,118.60x = 7,677.90 × 3,822.60
  4. Step 4: Simplify right side
    5,118.60x = 29,349,540.54
  5. Step 5: Solve for x
    x = 29,349,540.54/5,118.60
  6. Step 6: Final answer
    x = 5,733.90

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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.