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Finding the Fourth Proportional to 5,786.41, 7,985.23 and 3,133.81

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Solution

The fourth proportional to 5,786.41, 7,985.23 and 3,133.81 is: 4,324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.41 : 7,985.23 = 3,133.81 : x
  2. Step 2: Convert to fraction form
    5,786.41/7,985.23 = 3,133.81/x
  3. Step 3: Cross multiply
    5,786.41x = 7,985.23 × 3,133.81
  4. Step 4: Simplify right side
    5,786.41x = 25,024,235.86
  5. Step 5: Solve for x
    x = 25,024,235.86/5,786.41
  6. Step 6: Final answer
    x = 4,324.66

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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.