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Finding the Fourth Proportional to 5,089.88, 7,647.60 and 3,241.84

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Solution

The fourth proportional to 5,089.88, 7,647.60 and 3,241.84 is: 4,870.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.88 : 7,647.60 = 3,241.84 : x
  2. Step 2: Convert to fraction form
    5,089.88/7,647.60 = 3,241.84/x
  3. Step 3: Cross multiply
    5,089.88x = 7,647.60 × 3,241.84
  4. Step 4: Simplify right side
    5,089.88x = 24,792,295.58
  5. Step 5: Solve for x
    x = 24,792,295.58/5,089.88
  6. Step 6: Final answer
    x = 4,870.90

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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.