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Finding the Fourth Proportional to 5,905.05, 8,149.87 and 4,486.41

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Solution

The fourth proportional to 5,905.05, 8,149.87 and 4,486.41 is: 6,191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.05 : 8,149.87 = 4,486.41 : x
  2. Step 2: Convert to fraction form
    5,905.05/8,149.87 = 4,486.41/x
  3. Step 3: Cross multiply
    5,905.05x = 8,149.87 × 4,486.41
  4. Step 4: Simplify right side
    5,905.05x = 36,563,635.83
  5. Step 5: Solve for x
    x = 36,563,635.83/5,905.05
  6. Step 6: Final answer
    x = 6,191.93

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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.