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Finding the Fourth Proportional to 4,186.24, 5,777.04 and 2,323.24

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Solution

The fourth proportional to 4,186.24, 5,777.04 and 2,323.24 is: 3,206.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.24 : 5,777.04 = 2,323.24 : x
  2. Step 2: Convert to fraction form
    4,186.24/5,777.04 = 2,323.24/x
  3. Step 3: Cross multiply
    4,186.24x = 5,777.04 × 2,323.24
  4. Step 4: Simplify right side
    4,186.24x = 13,421,450.41
  5. Step 5: Solve for x
    x = 13,421,450.41/4,186.24
  6. Step 6: Final answer
    x = 3,206.09

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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.