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Finding the Fourth Proportional to 5,107.84, 7,663.92 and 2,146.94

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Solution

The fourth proportional to 5,107.84, 7,663.92 and 2,146.94 is: 3,221.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.84 : 7,663.92 = 2,146.94 : x
  2. Step 2: Convert to fraction form
    5,107.84/7,663.92 = 2,146.94/x
  3. Step 3: Cross multiply
    5,107.84x = 7,663.92 × 2,146.94
  4. Step 4: Simplify right side
    5,107.84x = 16,453,976.40
  5. Step 5: Solve for x
    x = 16,453,976.40/5,107.84
  6. Step 6: Final answer
    x = 3,221.32

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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.