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Finding the Fourth Proportional to 5,786, 8,679.41 and 2,323.25

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Solution

The fourth proportional to 5,786, 8,679.41 and 2,323.25 is: 3,485.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786 : 8,679.41 = 2,323.25 : x
  2. Step 2: Convert to fraction form
    5,786/8,679.41 = 2,323.25/x
  3. Step 3: Cross multiply
    5,786x = 8,679.41 × 2,323.25
  4. Step 4: Simplify right side
    5,786x = 20,164,427.67
  5. Step 5: Solve for x
    x = 20,164,427.67/5,786
  6. Step 6: Final answer
    x = 3,485.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.