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Finding the Fourth Proportional to 3,225.73, 4,838.49 and 917.23

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Solution

The fourth proportional to 3,225.73, 4,838.49 and 917.23 is: 1,375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.73 : 4,838.49 = 917.23 : x
  2. Step 2: Convert to fraction form
    3,225.73/4,838.49 = 917.23/x
  3. Step 3: Cross multiply
    3,225.73x = 4,838.49 × 917.23
  4. Step 4: Simplify right side
    3,225.73x = 4,437,979.40
  5. Step 5: Solve for x
    x = 4,437,979.40/3,225.73
  6. Step 6: Final answer
    x = 1,375.81

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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.