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Finding the Fourth Proportional to 4,385.07, 6,578.14 and 1,462.73

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Solution

The fourth proportional to 4,385.07, 6,578.14 and 1,462.73 is: 2,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,385.07 : 6,578.14 = 1,462.73 : x
  2. Step 2: Convert to fraction form
    4,385.07/6,578.14 = 1,462.73/x
  3. Step 3: Cross multiply
    4,385.07x = 6,578.14 × 1,462.73
  4. Step 4: Simplify right side
    4,385.07x = 9,622,006.17
  5. Step 5: Solve for x
    x = 9,622,006.17/4,385.07
  6. Step 6: Final answer
    x = 2,194.27

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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.