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Finding the Fourth Proportional to 4,881.92, 6,739.94 and 3,206.25

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Solution

The fourth proportional to 4,881.92, 6,739.94 and 3,206.25 is: 4,426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,881.92 : 6,739.94 = 3,206.25 : x
  2. Step 2: Convert to fraction form
    4,881.92/6,739.94 = 3,206.25/x
  3. Step 3: Cross multiply
    4,881.92x = 6,739.94 × 3,206.25
  4. Step 4: Simplify right side
    4,881.92x = 21,609,940.64
  5. Step 5: Solve for x
    x = 21,609,940.64/4,881.92
  6. Step 6: Final answer
    x = 4,426.53

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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.