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Finding the Fourth Proportional to 4,385.97, 6,578.25 and 1,611.96

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Solution

The fourth proportional to 4,385.97, 6,578.25 and 1,611.96 is: 2,417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,385.97 : 6,578.25 = 1,611.96 : x
  2. Step 2: Convert to fraction form
    4,385.97/6,578.25 = 1,611.96/x
  3. Step 3: Cross multiply
    4,385.97x = 6,578.25 × 1,611.96
  4. Step 4: Simplify right side
    4,385.97x = 10,603,875.87
  5. Step 5: Solve for x
    x = 10,603,875.87/4,385.97
  6. Step 6: Final answer
    x = 2,417.68

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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.