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Finding the Fourth Proportional to 6,057.92, 8,356.56 and 3,699.20

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Solution

The fourth proportional to 6,057.92, 8,356.56 and 3,699.20 is: 5,102.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.92 : 8,356.56 = 3,699.20 : x
  2. Step 2: Convert to fraction form
    6,057.92/8,356.56 = 3,699.20/x
  3. Step 3: Cross multiply
    6,057.92x = 8,356.56 × 3,699.20
  4. Step 4: Simplify right side
    6,057.92x = 30,912,586.75
  5. Step 5: Solve for x
    x = 30,912,586.75/6,057.92
  6. Step 6: Final answer
    x = 5,102.84

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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.