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Finding the Fourth Proportional to 3,640.96, 5,024.56 and 2,068.96

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Solution

The fourth proportional to 3,640.96, 5,024.56 and 2,068.96 is: 2,855.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.96 : 5,024.56 = 2,068.96 : x
  2. Step 2: Convert to fraction form
    3,640.96/5,024.56 = 2,068.96/x
  3. Step 3: Cross multiply
    3,640.96x = 5,024.56 × 2,068.96
  4. Step 4: Simplify right side
    3,640.96x = 10,395,613.66
  5. Step 5: Solve for x
    x = 10,395,613.66/3,640.96
  6. Step 6: Final answer
    x = 2,855.18

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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.