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Finding the Fourth Proportional to 3,768.29, 5,199.18 and 2,969.14

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Solution

The fourth proportional to 3,768.29, 5,199.18 and 2,969.14 is: 4,096.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.29 : 5,199.18 = 2,969.14 : x
  2. Step 2: Convert to fraction form
    3,768.29/5,199.18 = 2,969.14/x
  3. Step 3: Cross multiply
    3,768.29x = 5,199.18 × 2,969.14
  4. Step 4: Simplify right side
    3,768.29x = 15,437,065.34
  5. Step 5: Solve for x
    x = 15,437,065.34/3,768.29
  6. Step 6: Final answer
    x = 4,096.57

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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.