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Finding the Fourth Proportional to 4,101.68, 5,660.31 and 2,238.68

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Solution

The fourth proportional to 4,101.68, 5,660.31 and 2,238.68 is: 3,089.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.68 : 5,660.31 = 2,238.68 : x
  2. Step 2: Convert to fraction form
    4,101.68/5,660.31 = 2,238.68/x
  3. Step 3: Cross multiply
    4,101.68x = 5,660.31 × 2,238.68
  4. Step 4: Simplify right side
    4,101.68x = 12,671,594.49
  5. Step 5: Solve for x
    x = 12,671,594.49/4,101.68
  6. Step 6: Final answer
    x = 3,089.37

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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.