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Finding the Fourth Proportional to 3,699.90, 5,107.30 and 2,504.30

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Solution

The fourth proportional to 3,699.90, 5,107.30 and 2,504.30 is: 3,456.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.90 : 5,107.30 = 2,504.30 : x
  2. Step 2: Convert to fraction form
    3,699.90/5,107.30 = 2,504.30/x
  3. Step 3: Cross multiply
    3,699.90x = 5,107.30 × 2,504.30
  4. Step 4: Simplify right side
    3,699.90x = 12,790,211.39
  5. Step 5: Solve for x
    x = 12,790,211.39/3,699.90
  6. Step 6: Final answer
    x = 3,456.91

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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.