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Finding the Fourth Proportional to 5,735.94, 8,607.75 and 2,449.80

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Solution

The fourth proportional to 5,735.94, 8,607.75 and 2,449.80 is: 3,676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.94 : 8,607.75 = 2,449.80 : x
  2. Step 2: Convert to fraction form
    5,735.94/8,607.75 = 2,449.80/x
  3. Step 3: Cross multiply
    5,735.94x = 8,607.75 × 2,449.80
  4. Step 4: Simplify right side
    5,735.94x = 21,087,265.95
  5. Step 5: Solve for x
    x = 21,087,265.95/5,735.94
  6. Step 6: Final answer
    x = 3,676.34

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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.