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Finding the Fourth Proportional to 5,634.93, 8,451.59 and 2,347.41

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Solution

The fourth proportional to 5,634.93, 8,451.59 and 2,347.41 is: 3,520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.93 : 8,451.59 = 2,347.41 : x
  2. Step 2: Convert to fraction form
    5,634.93/8,451.59 = 2,347.41/x
  3. Step 3: Cross multiply
    5,634.93x = 8,451.59 × 2,347.41
  4. Step 4: Simplify right side
    5,634.93x = 19,839,335.14
  5. Step 5: Solve for x
    x = 19,839,335.14/5,634.93
  6. Step 6: Final answer
    x = 3,520.78

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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.