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Finding the Fourth Proportional to 4,833.52, 7,229.05 and 4,208.20

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Solution

The fourth proportional to 4,833.52, 7,229.05 and 4,208.20 is: 6,293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.52 : 7,229.05 = 4,208.20 : x
  2. Step 2: Convert to fraction form
    4,833.52/7,229.05 = 4,208.20/x
  3. Step 3: Cross multiply
    4,833.52x = 7,229.05 × 4,208.20
  4. Step 4: Simplify right side
    4,833.52x = 30,421,259.62
  5. Step 5: Solve for x
    x = 30,421,259.62/4,833.52
  6. Step 6: Final answer
    x = 6,293.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.