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Finding the Fourth Proportional to 5,093.85, 7,639.05 and 1,806.47

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Solution

The fourth proportional to 5,093.85, 7,639.05 and 1,806.47 is: 2,709.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.85 : 7,639.05 = 1,806.47 : x
  2. Step 2: Convert to fraction form
    5,093.85/7,639.05 = 1,806.47/x
  3. Step 3: Cross multiply
    5,093.85x = 7,639.05 × 1,806.47
  4. Step 4: Simplify right side
    5,093.85x = 13,799,714.65
  5. Step 5: Solve for x
    x = 13,799,714.65/5,093.85
  6. Step 6: Final answer
    x = 2,709.09

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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.