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Finding the Fourth Proportional to 4,611.66, 6,906.55 and 3,292.17

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Solution

The fourth proportional to 4,611.66, 6,906.55 and 3,292.17 is: 4,930.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.66 : 6,906.55 = 3,292.17 : x
  2. Step 2: Convert to fraction form
    4,611.66/6,906.55 = 3,292.17/x
  3. Step 3: Cross multiply
    4,611.66x = 6,906.55 × 3,292.17
  4. Step 4: Simplify right side
    4,611.66x = 22,737,536.71
  5. Step 5: Solve for x
    x = 22,737,536.71/4,611.66
  6. Step 6: Final answer
    x = 4,930.45

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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.