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Finding the Fourth Proportional to 5,490.48, 8,226 and 4,560.60

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Solution

The fourth proportional to 5,490.48, 8,226 and 4,560.60 is: 6,832.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.48 : 8,226 = 4,560.60 : x
  2. Step 2: Convert to fraction form
    5,490.48/8,226 = 4,560.60/x
  3. Step 3: Cross multiply
    5,490.48x = 8,226 × 4,560.60
  4. Step 4: Simplify right side
    5,490.48x = 37,515,495.60
  5. Step 5: Solve for x
    x = 37,515,495.60/5,490.48
  6. Step 6: Final answer
    x = 6,832.83

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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.