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Finding the Fourth Proportional to 4,687.47, 7,032.83 and 1,766.61

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Solution

The fourth proportional to 4,687.47, 7,032.83 and 1,766.61 is: 2,650.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.47 : 7,032.83 = 1,766.61 : x
  2. Step 2: Convert to fraction form
    4,687.47/7,032.83 = 1,766.61/x
  3. Step 3: Cross multiply
    4,687.47x = 7,032.83 × 1,766.61
  4. Step 4: Simplify right side
    4,687.47x = 12,424,258.97
  5. Step 5: Solve for x
    x = 12,424,258.97/4,687.47
  6. Step 6: Final answer
    x = 2,650.53

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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.