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Finding the Fourth Proportional to 3,873.02, 5,344.73 and 2,104.64

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Solution

The fourth proportional to 3,873.02, 5,344.73 and 2,104.64 is: 2,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.02 : 5,344.73 = 2,104.64 : x
  2. Step 2: Convert to fraction form
    3,873.02/5,344.73 = 2,104.64/x
  3. Step 3: Cross multiply
    3,873.02x = 5,344.73 × 2,104.64
  4. Step 4: Simplify right side
    3,873.02x = 11,248,695.30
  5. Step 5: Solve for x
    x = 11,248,695.30/3,873.02
  6. Step 6: Final answer
    x = 2,904.38

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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.