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Finding the Fourth Proportional to 3,908.72, 5,848.22 and 2,402.36

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Solution

The fourth proportional to 3,908.72, 5,848.22 and 2,402.36 is: 3,594.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.72 : 5,848.22 = 2,402.36 : x
  2. Step 2: Convert to fraction form
    3,908.72/5,848.22 = 2,402.36/x
  3. Step 3: Cross multiply
    3,908.72x = 5,848.22 × 2,402.36
  4. Step 4: Simplify right side
    3,908.72x = 14,049,529.80
  5. Step 5: Solve for x
    x = 14,049,529.80/3,908.72
  6. Step 6: Final answer
    x = 3,594.41

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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.