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Finding the Fourth Proportional to 5,610.94, 7,742.79 and 3,221.03

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Solution

The fourth proportional to 5,610.94, 7,742.79 and 3,221.03 is: 4,444.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.94 : 7,742.79 = 3,221.03 : x
  2. Step 2: Convert to fraction form
    5,610.94/7,742.79 = 3,221.03/x
  3. Step 3: Cross multiply
    5,610.94x = 7,742.79 × 3,221.03
  4. Step 4: Simplify right side
    5,610.94x = 24,939,778.23
  5. Step 5: Solve for x
    x = 24,939,778.23/5,610.94
  6. Step 6: Final answer
    x = 4,444.85

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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.