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Finding the Fourth Proportional to 4,143.86, 6,215.84 and 1,222.22

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Solution

The fourth proportional to 4,143.86, 6,215.84 and 1,222.22 is: 1,833.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.86 : 6,215.84 = 1,222.22 : x
  2. Step 2: Convert to fraction form
    4,143.86/6,215.84 = 1,222.22/x
  3. Step 3: Cross multiply
    4,143.86x = 6,215.84 × 1,222.22
  4. Step 4: Simplify right side
    4,143.86x = 7,597,123.96
  5. Step 5: Solve for x
    x = 7,597,123.96/4,143.86
  6. Step 6: Final answer
    x = 1,833.34

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