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Finding the Fourth Proportional to 3,294.64, 4,544.51 and 2,299.56

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Solution

The fourth proportional to 3,294.64, 4,544.51 and 2,299.56 is: 3,171.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.64 : 4,544.51 = 2,299.56 : x
  2. Step 2: Convert to fraction form
    3,294.64/4,544.51 = 2,299.56/x
  3. Step 3: Cross multiply
    3,294.64x = 4,544.51 × 2,299.56
  4. Step 4: Simplify right side
    3,294.64x = 10,450,373.42
  5. Step 5: Solve for x
    x = 10,450,373.42/3,294.64
  6. Step 6: Final answer
    x = 3,171.93

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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.