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Finding the Fourth Proportional to 4,385.42, 6,578.13 and 1,222.73

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Solution

The fourth proportional to 4,385.42, 6,578.13 and 1,222.73 is: 1,834.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,385.42 : 6,578.13 = 1,222.73 : x
  2. Step 2: Convert to fraction form
    4,385.42/6,578.13 = 1,222.73/x
  3. Step 3: Cross multiply
    4,385.42x = 6,578.13 × 1,222.73
  4. Step 4: Simplify right side
    4,385.42x = 8,043,293.34
  5. Step 5: Solve for x
    x = 8,043,293.34/4,385.42
  6. Step 6: Final answer
    x = 1,834.10

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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.