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Finding the Fourth Proportional to 4,125.96, 5,694.22 and 2,357.82

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Solution

The fourth proportional to 4,125.96, 5,694.22 and 2,357.82 is: 3,254.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125.96 : 5,694.22 = 2,357.82 : x
  2. Step 2: Convert to fraction form
    4,125.96/5,694.22 = 2,357.82/x
  3. Step 3: Cross multiply
    4,125.96x = 5,694.22 × 2,357.82
  4. Step 4: Simplify right side
    4,125.96x = 13,425,945.80
  5. Step 5: Solve for x
    x = 13,425,945.80/4,125.96
  6. Step 6: Final answer
    x = 3,254.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.