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Finding the Fourth Proportional to 3,668.76, 5,062.95 and 2,096.82

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Solution

The fourth proportional to 3,668.76, 5,062.95 and 2,096.82 is: 2,893.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.76 : 5,062.95 = 2,096.82 : x
  2. Step 2: Convert to fraction form
    3,668.76/5,062.95 = 2,096.82/x
  3. Step 3: Cross multiply
    3,668.76x = 5,062.95 × 2,096.82
  4. Step 4: Simplify right side
    3,668.76x = 10,616,094.82
  5. Step 5: Solve for x
    x = 10,616,094.82/3,668.76
  6. Step 6: Final answer
    x = 2,893.65

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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.