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Finding the Fourth Proportional to 5,671.54, 7,824.85 and 3,432.56

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Solution

The fourth proportional to 5,671.54, 7,824.85 and 3,432.56 is: 4,735.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.54 : 7,824.85 = 3,432.56 : x
  2. Step 2: Convert to fraction form
    5,671.54/7,824.85 = 3,432.56/x
  3. Step 3: Cross multiply
    5,671.54x = 7,824.85 × 3,432.56
  4. Step 4: Simplify right side
    5,671.54x = 26,859,249.95
  5. Step 5: Solve for x
    x = 26,859,249.95/5,671.54
  6. Step 6: Final answer
    x = 4,735.80

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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.