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Finding the Fourth Proportional to 4,187.75, 5,779.23 and 2,324.75

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Solution

The fourth proportional to 4,187.75, 5,779.23 and 2,324.75 is: 3,208.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.75 : 5,779.23 = 2,324.75 : x
  2. Step 2: Convert to fraction form
    4,187.75/5,779.23 = 2,324.75/x
  3. Step 3: Cross multiply
    4,187.75x = 5,779.23 × 2,324.75
  4. Step 4: Simplify right side
    4,187.75x = 13,435,264.94
  5. Step 5: Solve for x
    x = 13,435,264.94/4,187.75
  6. Step 6: Final answer
    x = 3,208.23

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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.