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Finding the Fourth Proportional to 4,238.22, 5,846.66 and 3,677.90

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Solution

The fourth proportional to 4,238.22, 5,846.66 and 3,677.90 is: 5,073.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.22 : 5,846.66 = 3,677.90 : x
  2. Step 2: Convert to fraction form
    4,238.22/5,846.66 = 3,677.90/x
  3. Step 3: Cross multiply
    4,238.22x = 5,846.66 × 3,677.90
  4. Step 4: Simplify right side
    4,238.22x = 21,503,430.81
  5. Step 5: Solve for x
    x = 21,503,430.81/4,238.22
  6. Step 6: Final answer
    x = 5,073.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.