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Finding the Fourth Proportional to 4,162.56, 5,744.52 and 2,299.56

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Solution

The fourth proportional to 4,162.56, 5,744.52 and 2,299.56 is: 3,173.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.56 : 5,744.52 = 2,299.56 : x
  2. Step 2: Convert to fraction form
    4,162.56/5,744.52 = 2,299.56/x
  3. Step 3: Cross multiply
    4,162.56x = 5,744.52 × 2,299.56
  4. Step 4: Simplify right side
    4,162.56x = 13,209,868.41
  5. Step 5: Solve for x
    x = 13,209,868.41/4,162.56
  6. Step 6: Final answer
    x = 3,173.50

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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.