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Finding the Fourth Proportional to 3,668, 5,061.75 and 2,096.00

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Solution

The fourth proportional to 3,668, 5,061.75 and 2,096.00 is: 2,892.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668 : 5,061.75 = 2,096.00 : x
  2. Step 2: Convert to fraction form
    3,668/5,061.75 = 2,096.00/x
  3. Step 3: Cross multiply
    3,668x = 5,061.75 × 2,096.00
  4. Step 4: Simplify right side
    3,668x = 10,609,402.69
  5. Step 5: Solve for x
    x = 10,609,402.69/3,668
  6. Step 6: Final answer
    x = 2,892.42

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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.