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Finding the Fourth Proportional to 4,603.71, 6,906.78 and 2,651.61

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Solution

The fourth proportional to 4,603.71, 6,906.78 and 2,651.61 is: 3,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.71 : 6,906.78 = 2,651.61 : x
  2. Step 2: Convert to fraction form
    4,603.71/6,906.78 = 2,651.61/x
  3. Step 3: Cross multiply
    4,603.71x = 6,906.78 × 2,651.61
  4. Step 4: Simplify right side
    4,603.71x = 18,314,086.92
  5. Step 5: Solve for x
    x = 18,314,086.92/4,603.71
  6. Step 6: Final answer
    x = 3,978.11

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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.