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Finding the Fourth Proportional to 5,634.68, 7,773.24 and 3,645.88

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Solution

The fourth proportional to 5,634.68, 7,773.24 and 3,645.88 is: 5,029.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.68 : 7,773.24 = 3,645.88 : x
  2. Step 2: Convert to fraction form
    5,634.68/7,773.24 = 3,645.88/x
  3. Step 3: Cross multiply
    5,634.68x = 7,773.24 × 3,645.88
  4. Step 4: Simplify right side
    5,634.68x = 28,340,284.24
  5. Step 5: Solve for x
    x = 28,340,284.24/5,634.68
  6. Step 6: Final answer
    x = 5,029.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.