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Finding the Fourth Proportional to 3,252.25, 4,877.56 and 911.65

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Solution

The fourth proportional to 3,252.25, 4,877.56 and 911.65 is: 1,367.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252.25 : 4,877.56 = 911.65 : x
  2. Step 2: Convert to fraction form
    3,252.25/4,877.56 = 911.65/x
  3. Step 3: Cross multiply
    3,252.25x = 4,877.56 × 911.65
  4. Step 4: Simplify right side
    3,252.25x = 4,446,627.57
  5. Step 5: Solve for x
    x = 4,446,627.57/3,252.25
  6. Step 6: Final answer
    x = 1,367.25

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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.