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Finding the Fourth Proportional to 2,573.91, 3,857.94 and 2,366.22

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Solution

The fourth proportional to 2,573.91, 3,857.94 and 2,366.22 is: 3,546.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.91 : 3,857.94 = 2,366.22 : x
  2. Step 2: Convert to fraction form
    2,573.91/3,857.94 = 2,366.22/x
  3. Step 3: Cross multiply
    2,573.91x = 3,857.94 × 2,366.22
  4. Step 4: Simplify right side
    2,573.91x = 9,128,734.79
  5. Step 5: Solve for x
    x = 9,128,734.79/2,573.91
  6. Step 6: Final answer
    x = 3,546.64

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Why These Related Problems?

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