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Finding the Fourth Proportional to 4,187.34, 5,778.54 and 2,324.34

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Solution

The fourth proportional to 4,187.34, 5,778.54 and 2,324.34 is: 3,207.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.34 : 5,778.54 = 2,324.34 : x
  2. Step 2: Convert to fraction form
    4,187.34/5,778.54 = 2,324.34/x
  3. Step 3: Cross multiply
    4,187.34x = 5,778.54 × 2,324.34
  4. Step 4: Simplify right side
    4,187.34x = 13,431,291.66
  5. Step 5: Solve for x
    x = 13,431,291.66/4,187.34
  6. Step 6: Final answer
    x = 3,207.60

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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.