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Finding the Fourth Proportional to 3,225.56, 4,838.46 and 917

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Solution

The fourth proportional to 3,225.56, 4,838.46 and 917 is: 1,375.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.56 : 4,838.46 = 917 : x
  2. Step 2: Convert to fraction form
    3,225.56/4,838.46 = 917/x
  3. Step 3: Cross multiply
    3,225.56x = 4,838.46 × 917
  4. Step 4: Simplify right side
    3,225.56x = 4,436,867.82
  5. Step 5: Solve for x
    x = 4,436,867.82/3,225.56
  6. Step 6: Final answer
    x = 1,375.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.