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Finding the Fourth Proportional to 5,905.34, 8,157.16 and 4,410.66

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Solution

The fourth proportional to 5,905.34, 8,157.16 and 4,410.66 is: 6,092.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.34 : 8,157.16 = 4,410.66 : x
  2. Step 2: Convert to fraction form
    5,905.34/8,157.16 = 4,410.66/x
  3. Step 3: Cross multiply
    5,905.34x = 8,157.16 × 4,410.66
  4. Step 4: Simplify right side
    5,905.34x = 35,978,470.62
  5. Step 5: Solve for x
    x = 35,978,470.62/5,905.34
  6. Step 6: Final answer
    x = 6,092.53

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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.