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Finding the Fourth Proportional to 3,785.54, 5,212.76 and 3,703.73

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Solution

The fourth proportional to 3,785.54, 5,212.76 and 3,703.73 is: 5,100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.54 : 5,212.76 = 3,703.73 : x
  2. Step 2: Convert to fraction form
    3,785.54/5,212.76 = 3,703.73/x
  3. Step 3: Cross multiply
    3,785.54x = 5,212.76 × 3,703.73
  4. Step 4: Simplify right side
    3,785.54x = 19,306,611.01
  5. Step 5: Solve for x
    x = 19,306,611.01/3,785.54
  6. Step 6: Final answer
    x = 5,100.10

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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.