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Finding the Fourth Proportional to 6,071.18, 8,379.52 and 3,835.98

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Solution

The fourth proportional to 6,071.18, 8,379.52 and 3,835.98 is: 5,294.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.18 : 8,379.52 = 3,835.98 : x
  2. Step 2: Convert to fraction form
    6,071.18/8,379.52 = 3,835.98/x
  3. Step 3: Cross multiply
    6,071.18x = 8,379.52 × 3,835.98
  4. Step 4: Simplify right side
    6,071.18x = 32,143,661.54
  5. Step 5: Solve for x
    x = 32,143,661.54/6,071.18
  6. Step 6: Final answer
    x = 5,294.47

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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.