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Finding the Fourth Proportional to 4,449.57, 6,142.41 and 3,196.91

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Solution

The fourth proportional to 4,449.57, 6,142.41 and 3,196.91 is: 4,413.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,449.57 : 6,142.41 = 3,196.91 : x
  2. Step 2: Convert to fraction form
    4,449.57/6,142.41 = 3,196.91/x
  3. Step 3: Cross multiply
    4,449.57x = 6,142.41 × 3,196.91
  4. Step 4: Simplify right side
    4,449.57x = 19,636,701.24
  5. Step 5: Solve for x
    x = 19,636,701.24/4,449.57
  6. Step 6: Final answer
    x = 4,413.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.