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Finding the Fourth Proportional to 4,766.62, 7,143.45 and 3,032.14

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Solution

The fourth proportional to 4,766.62, 7,143.45 and 3,032.14 is: 4,544.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.62 : 7,143.45 = 3,032.14 : x
  2. Step 2: Convert to fraction form
    4,766.62/7,143.45 = 3,032.14/x
  3. Step 3: Cross multiply
    4,766.62x = 7,143.45 × 3,032.14
  4. Step 4: Simplify right side
    4,766.62x = 21,659,940.48
  5. Step 5: Solve for x
    x = 21,659,940.48/4,766.62
  6. Step 6: Final answer
    x = 4,544.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.