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Finding the Fourth Proportional to 3,141.42, 4,713.68 and 2,222.88

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Solution

The fourth proportional to 3,141.42, 4,713.68 and 2,222.88 is: 3,335.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.42 : 4,713.68 = 2,222.88 : x
  2. Step 2: Convert to fraction form
    3,141.42/4,713.68 = 2,222.88/x
  3. Step 3: Cross multiply
    3,141.42x = 4,713.68 × 2,222.88
  4. Step 4: Simplify right side
    3,141.42x = 10,477,945.00
  5. Step 5: Solve for x
    x = 10,477,945.00/3,141.42
  6. Step 6: Final answer
    x = 3,335.42

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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.