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Finding the Fourth Proportional to 3,297.25, 4,945.88 and 988.75

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Solution

The fourth proportional to 3,297.25, 4,945.88 and 988.75 is: 1,483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.25 : 4,945.88 = 988.75 : x
  2. Step 2: Convert to fraction form
    3,297.25/4,945.88 = 988.75/x
  3. Step 3: Cross multiply
    3,297.25x = 4,945.88 × 988.75
  4. Step 4: Simplify right side
    3,297.25x = 4,890,238.85
  5. Step 5: Solve for x
    x = 4,890,238.85/3,297.25
  6. Step 6: Final answer
    x = 1,483.13

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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.