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Finding the Fourth Proportional to 5,903.56, 8,144.92 and 3,664.64

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Solution

The fourth proportional to 5,903.56, 8,144.92 and 3,664.64 is: 5,055.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,903.56 : 8,144.92 = 3,664.64 : x
  2. Step 2: Convert to fraction form
    5,903.56/8,144.92 = 3,664.64/x
  3. Step 3: Cross multiply
    5,903.56x = 8,144.92 × 3,664.64
  4. Step 4: Simplify right side
    5,903.56x = 29,848,199.63
  5. Step 5: Solve for x
    x = 29,848,199.63/5,903.56
  6. Step 6: Final answer
    x = 5,055.97

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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.