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Finding the Fourth Proportional to 3,679.36, 5,076.23 and 2,085.77

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Solution

The fourth proportional to 3,679.36, 5,076.23 and 2,085.77 is: 2,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.36 : 5,076.23 = 2,085.77 : x
  2. Step 2: Convert to fraction form
    3,679.36/5,076.23 = 2,085.77/x
  3. Step 3: Cross multiply
    3,679.36x = 5,076.23 × 2,085.77
  4. Step 4: Simplify right side
    3,679.36x = 10,587,850.51
  5. Step 5: Solve for x
    x = 10,587,850.51/3,679.36
  6. Step 6: Final answer
    x = 2,877.64

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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.