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Finding the Fourth Proportional to 4,054.99, 5,595.78 and 2,286.56

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Solution

The fourth proportional to 4,054.99, 5,595.78 and 2,286.56 is: 3,155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,054.99 : 5,595.78 = 2,286.56 : x
  2. Step 2: Convert to fraction form
    4,054.99/5,595.78 = 2,286.56/x
  3. Step 3: Cross multiply
    4,054.99x = 5,595.78 × 2,286.56
  4. Step 4: Simplify right side
    4,054.99x = 12,795,086.72
  5. Step 5: Solve for x
    x = 12,795,086.72/4,054.99
  6. Step 6: Final answer
    x = 3,155.39

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Why These Related Problems?

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