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Finding the Fourth Proportional to 4,094.64, 5,650.38 and 2,326.02

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Solution

The fourth proportional to 4,094.64, 5,650.38 and 2,326.02 is: 3,209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.64 : 5,650.38 = 2,326.02 : x
  2. Step 2: Convert to fraction form
    4,094.64/5,650.38 = 2,326.02/x
  3. Step 3: Cross multiply
    4,094.64x = 5,650.38 × 2,326.02
  4. Step 4: Simplify right side
    4,094.64x = 13,142,896.89
  5. Step 5: Solve for x
    x = 13,142,896.89/4,094.64
  6. Step 6: Final answer
    x = 3,209.78

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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.