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Finding the Fourth Proportional to 4,184.99, 5,775.20 and 2,296.57

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Solution

The fourth proportional to 4,184.99, 5,775.20 and 2,296.57 is: 3,169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184.99 : 5,775.20 = 2,296.57 : x
  2. Step 2: Convert to fraction form
    4,184.99/5,775.20 = 2,296.57/x
  3. Step 3: Cross multiply
    4,184.99x = 5,775.20 × 2,296.57
  4. Step 4: Simplify right side
    4,184.99x = 13,263,142.37
  5. Step 5: Solve for x
    x = 13,263,142.37/4,184.99
  6. Step 6: Final answer
    x = 3,169.22

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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.