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Finding the Fourth Proportional to 3,867.09, 5,801.51 and 1,676.17

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Solution

The fourth proportional to 3,867.09, 5,801.51 and 1,676.17 is: 2,514.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.09 : 5,801.51 = 1,676.17 : x
  2. Step 2: Convert to fraction form
    3,867.09/5,801.51 = 1,676.17/x
  3. Step 3: Cross multiply
    3,867.09x = 5,801.51 × 1,676.17
  4. Step 4: Simplify right side
    3,867.09x = 9,724,317.02
  5. Step 5: Solve for x
    x = 9,724,317.02/3,867.09
  6. Step 6: Final answer
    x = 2,514.63

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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.