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Finding the Fourth Proportional to 3,888.22, 5,835.70 and 2,040.64

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Solution

The fourth proportional to 3,888.22, 5,835.70 and 2,040.64 is: 3,062.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.22 : 5,835.70 = 2,040.64 : x
  2. Step 2: Convert to fraction form
    3,888.22/5,835.70 = 2,040.64/x
  3. Step 3: Cross multiply
    3,888.22x = 5,835.70 × 2,040.64
  4. Step 4: Simplify right side
    3,888.22x = 11,908,562.85
  5. Step 5: Solve for x
    x = 11,908,562.85/3,888.22
  6. Step 6: Final answer
    x = 3,062.73

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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.