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Finding the Fourth Proportional to 5,107.96, 7,663.20 and 1,645.12

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Solution

The fourth proportional to 5,107.96, 7,663.20 and 1,645.12 is: 2,468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.96 : 7,663.20 = 1,645.12 : x
  2. Step 2: Convert to fraction form
    5,107.96/7,663.20 = 1,645.12/x
  3. Step 3: Cross multiply
    5,107.96x = 7,663.20 × 1,645.12
  4. Step 4: Simplify right side
    5,107.96x = 12,606,883.58
  5. Step 5: Solve for x
    x = 12,606,883.58/5,107.96
  6. Step 6: Final answer
    x = 2,468.09

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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.