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Finding the Fourth Proportional to 4,085.83, 6,129 and 2,006.83

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Solution

The fourth proportional to 4,085.83, 6,129 and 2,006.83 is: 3,010.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,085.83 : 6,129 = 2,006.83 : x
  2. Step 2: Convert to fraction form
    4,085.83/6,129 = 2,006.83/x
  3. Step 3: Cross multiply
    4,085.83x = 6,129 × 2,006.83
  4. Step 4: Simplify right side
    4,085.83x = 12,299,861.07
  5. Step 5: Solve for x
    x = 12,299,861.07/4,085.83
  6. Step 6: Final answer
    x = 3,010.37

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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.