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Finding the Fourth Proportional to 5,858, 8,083.82 and 3,499.68

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Solution

The fourth proportional to 5,858, 8,083.82 and 3,499.68 is: 4,829.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,858 : 8,083.82 = 3,499.68 : x
  2. Step 2: Convert to fraction form
    5,858/8,083.82 = 3,499.68/x
  3. Step 3: Cross multiply
    5,858x = 8,083.82 × 3,499.68
  4. Step 4: Simplify right side
    5,858x = 28,290,783.18
  5. Step 5: Solve for x
    x = 28,290,783.18/5,858
  6. Step 6: Final answer
    x = 4,829.43

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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.