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Finding the Fourth Proportional to 4,517.78, 6,775.63 and 1,230.22

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Solution

The fourth proportional to 4,517.78, 6,775.63 and 1,230.22 is: 1,845.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.78 : 6,775.63 = 1,230.22 : x
  2. Step 2: Convert to fraction form
    4,517.78/6,775.63 = 1,230.22/x
  3. Step 3: Cross multiply
    4,517.78x = 6,775.63 × 1,230.22
  4. Step 4: Simplify right side
    4,517.78x = 8,335,495.52
  5. Step 5: Solve for x
    x = 8,335,495.52/4,517.78
  6. Step 6: Final answer
    x = 1,845.04

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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.