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Finding the Fourth Proportional to 3,696.91, 5,102.59 and 2,438.19

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Solution

The fourth proportional to 3,696.91, 5,102.59 and 2,438.19 is: 3,365.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.91 : 5,102.59 = 2,438.19 : x
  2. Step 2: Convert to fraction form
    3,696.91/5,102.59 = 2,438.19/x
  3. Step 3: Cross multiply
    3,696.91x = 5,102.59 × 2,438.19
  4. Step 4: Simplify right side
    3,696.91x = 12,441,083.91
  5. Step 5: Solve for x
    x = 12,441,083.91/3,696.91
  6. Step 6: Final answer
    x = 3,365.27

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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.