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Finding the Fourth Proportional to 5,737.94, 7,917.72 and 3,219.54

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Solution

The fourth proportional to 5,737.94, 7,917.72 and 3,219.54 is: 4,442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.94 : 7,917.72 = 3,219.54 : x
  2. Step 2: Convert to fraction form
    5,737.94/7,917.72 = 3,219.54/x
  3. Step 3: Cross multiply
    5,737.94x = 7,917.72 × 3,219.54
  4. Step 4: Simplify right side
    5,737.94x = 25,491,416.25
  5. Step 5: Solve for x
    x = 25,491,416.25/5,737.94
  6. Step 6: Final answer
    x = 4,442.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.