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Finding the Fourth Proportional to 3,206.52, 4,781.22 and 3,200.40

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Solution

The fourth proportional to 3,206.52, 4,781.22 and 3,200.40 is: 4,772.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.52 : 4,781.22 = 3,200.40 : x
  2. Step 2: Convert to fraction form
    3,206.52/4,781.22 = 3,200.40/x
  3. Step 3: Cross multiply
    3,206.52x = 4,781.22 × 3,200.40
  4. Step 4: Simplify right side
    3,206.52x = 15,301,816.49
  5. Step 5: Solve for x
    x = 15,301,816.49/3,206.52
  6. Step 6: Final answer
    x = 4,772.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.