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Finding the Fourth Proportional to 4,833.92, 6,670.80 and 2,738.24

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Solution

The fourth proportional to 4,833.92, 6,670.80 and 2,738.24 is: 3,778.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.92 : 6,670.80 = 2,738.24 : x
  2. Step 2: Convert to fraction form
    4,833.92/6,670.80 = 2,738.24/x
  3. Step 3: Cross multiply
    4,833.92x = 6,670.80 × 2,738.24
  4. Step 4: Simplify right side
    4,833.92x = 18,266,251.39
  5. Step 5: Solve for x
    x = 18,266,251.39/4,833.92
  6. Step 6: Final answer
    x = 3,778.77

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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.