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Finding the Fourth Proportional to 4,697.13, 6,481.98 and 2,834.13

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Solution

The fourth proportional to 4,697.13, 6,481.98 and 2,834.13 is: 3,911.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.13 : 6,481.98 = 2,834.13 : x
  2. Step 2: Convert to fraction form
    4,697.13/6,481.98 = 2,834.13/x
  3. Step 3: Cross multiply
    4,697.13x = 6,481.98 × 2,834.13
  4. Step 4: Simplify right side
    4,697.13x = 18,370,773.98
  5. Step 5: Solve for x
    x = 18,370,773.98/4,697.13
  6. Step 6: Final answer
    x = 3,911.06

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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.