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Finding the Fourth Proportional to 4,147.69, 6,223.06 and 1,954.77

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Solution

The fourth proportional to 4,147.69, 6,223.06 and 1,954.77 is: 2,932.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.69 : 6,223.06 = 1,954.77 : x
  2. Step 2: Convert to fraction form
    4,147.69/6,223.06 = 1,954.77/x
  3. Step 3: Cross multiply
    4,147.69x = 6,223.06 × 1,954.77
  4. Step 4: Simplify right side
    4,147.69x = 12,164,651.00
  5. Step 5: Solve for x
    x = 12,164,651.00/4,147.69
  6. Step 6: Final answer
    x = 2,932.87

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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.