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Finding the Fourth Proportional to 5,107.34, 7,663.17 and 2,146.46

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Solution

The fourth proportional to 5,107.34, 7,663.17 and 2,146.46 is: 3,220.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.34 : 7,663.17 = 2,146.46 : x
  2. Step 2: Convert to fraction form
    5,107.34/7,663.17 = 2,146.46/x
  3. Step 3: Cross multiply
    5,107.34x = 7,663.17 × 2,146.46
  4. Step 4: Simplify right side
    5,107.34x = 16,448,649.56
  5. Step 5: Solve for x
    x = 16,448,649.56/5,107.34
  6. Step 6: Final answer
    x = 3,220.59

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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.