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Finding the Fourth Proportional to 5,671.96, 7,827.33 and 3,313.60

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Solution

The fourth proportional to 5,671.96, 7,827.33 and 3,313.60 is: 4,572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.96 : 7,827.33 = 3,313.60 : x
  2. Step 2: Convert to fraction form
    5,671.96/7,827.33 = 3,313.60/x
  3. Step 3: Cross multiply
    5,671.96x = 7,827.33 × 3,313.60
  4. Step 4: Simplify right side
    5,671.96x = 25,936,640.69
  5. Step 5: Solve for x
    x = 25,936,640.69/5,671.96
  6. Step 6: Final answer
    x = 4,572.78

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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.