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Finding the Fourth Proportional to 5,974.70, 8,244.50 and 3,456.32

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Solution

The fourth proportional to 5,974.70, 8,244.50 and 3,456.32 is: 4,769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.70 : 8,244.50 = 3,456.32 : x
  2. Step 2: Convert to fraction form
    5,974.70/8,244.50 = 3,456.32/x
  3. Step 3: Cross multiply
    5,974.70x = 8,244.50 × 3,456.32
  4. Step 4: Simplify right side
    5,974.70x = 28,495,571.74
  5. Step 5: Solve for x
    x = 28,495,571.74/5,974.70
  6. Step 6: Final answer
    x = 4,769.38

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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.