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Finding the Fourth Proportional to 4,186.02, 5,776.69 and 2,323.02

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Solution

The fourth proportional to 4,186.02, 5,776.69 and 2,323.02 is: 3,205.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.02 : 5,776.69 = 2,323.02 : x
  2. Step 2: Convert to fraction form
    4,186.02/5,776.69 = 2,323.02/x
  3. Step 3: Cross multiply
    4,186.02x = 5,776.69 × 2,323.02
  4. Step 4: Simplify right side
    4,186.02x = 13,419,366.40
  5. Step 5: Solve for x
    x = 13,419,366.40/4,186.02
  6. Step 6: Final answer
    x = 3,205.76

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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.