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Finding the Fourth Proportional to 5,889.98, 8,835.24 and 4,166.30

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Solution

The fourth proportional to 5,889.98, 8,835.24 and 4,166.30 is: 6,249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.98 : 8,835.24 = 4,166.30 : x
  2. Step 2: Convert to fraction form
    5,889.98/8,835.24 = 4,166.30/x
  3. Step 3: Cross multiply
    5,889.98x = 8,835.24 × 4,166.30
  4. Step 4: Simplify right side
    5,889.98x = 36,810,260.41
  5. Step 5: Solve for x
    x = 36,810,260.41/5,889.98
  6. Step 6: Final answer
    x = 6,249.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.