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Finding the Fourth Proportional to 5,905.79, 8,149.84 and 3,253.22

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Solution

The fourth proportional to 5,905.79, 8,149.84 and 3,253.22 is: 4,489.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.79 : 8,149.84 = 3,253.22 : x
  2. Step 2: Convert to fraction form
    5,905.79/8,149.84 = 3,253.22/x
  3. Step 3: Cross multiply
    5,905.79x = 8,149.84 × 3,253.22
  4. Step 4: Simplify right side
    5,905.79x = 26,513,222.48
  5. Step 5: Solve for x
    x = 26,513,222.48/5,905.79
  6. Step 6: Final answer
    x = 4,489.36

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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.