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Finding the Fourth Proportional to 4,881.64, 6,736.60 and 2,643.48

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Solution

The fourth proportional to 4,881.64, 6,736.60 and 2,643.48 is: 3,647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,881.64 : 6,736.60 = 2,643.48 : x
  2. Step 2: Convert to fraction form
    4,881.64/6,736.60 = 2,643.48/x
  3. Step 3: Cross multiply
    4,881.64x = 6,736.60 × 2,643.48
  4. Step 4: Simplify right side
    4,881.64x = 17,808,067.37
  5. Step 5: Solve for x
    x = 17,808,067.37/4,881.64
  6. Step 6: Final answer
    x = 3,647.97

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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.