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Finding the Fourth Proportional to 3,403.54, 4,697.22 and 2,286.79

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Solution

The fourth proportional to 3,403.54, 4,697.22 and 2,286.79 is: 3,156.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.54 : 4,697.22 = 2,286.79 : x
  2. Step 2: Convert to fraction form
    3,403.54/4,697.22 = 2,286.79/x
  3. Step 3: Cross multiply
    3,403.54x = 4,697.22 × 2,286.79
  4. Step 4: Simplify right side
    3,403.54x = 10,741,555.72
  5. Step 5: Solve for x
    x = 10,741,555.72/3,403.54
  6. Step 6: Final answer
    x = 3,156.00

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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.