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Finding the Fourth Proportional to 4,229.35, 5,800.14 and 4,051.96

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Solution

The fourth proportional to 4,229.35, 5,800.14 and 4,051.96 is: 5,556.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.35 : 5,800.14 = 4,051.96 : x
  2. Step 2: Convert to fraction form
    4,229.35/5,800.14 = 4,051.96/x
  3. Step 3: Cross multiply
    4,229.35x = 5,800.14 × 4,051.96
  4. Step 4: Simplify right side
    4,229.35x = 23,501,920.77
  5. Step 5: Solve for x
    x = 23,501,920.77/4,229.35
  6. Step 6: Final answer
    x = 5,556.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.