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Finding the Fourth Proportional to 4,162.84, 5,744.46 and 2,299.80

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Solution

The fourth proportional to 4,162.84, 5,744.46 and 2,299.80 is: 3,173.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.84 : 5,744.46 = 2,299.80 : x
  2. Step 2: Convert to fraction form
    4,162.84/5,744.46 = 2,299.80/x
  3. Step 3: Cross multiply
    4,162.84x = 5,744.46 × 2,299.80
  4. Step 4: Simplify right side
    4,162.84x = 13,211,109.11
  5. Step 5: Solve for x
    x = 13,211,109.11/4,162.84
  6. Step 6: Final answer
    x = 3,173.58

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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.