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Finding the Fourth Proportional to 5,611.49, 8,414.47 and 3,206.93

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Solution

The fourth proportional to 5,611.49, 8,414.47 and 3,206.93 is: 4,808.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.49 : 8,414.47 = 3,206.93 : x
  2. Step 2: Convert to fraction form
    5,611.49/8,414.47 = 3,206.93/x
  3. Step 3: Cross multiply
    5,611.49x = 8,414.47 × 3,206.93
  4. Step 4: Simplify right side
    5,611.49x = 26,984,587.23
  5. Step 5: Solve for x
    x = 26,984,587.23/5,611.49
  6. Step 6: Final answer
    x = 4,808.81

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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.