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Finding the Fourth Proportional to 3,699.48, 5,105.58 and 2,302.44

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Solution

The fourth proportional to 3,699.48, 5,105.58 and 2,302.44 is: 3,177.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.48 : 5,105.58 = 2,302.44 : x
  2. Step 2: Convert to fraction form
    3,699.48/5,105.58 = 2,302.44/x
  3. Step 3: Cross multiply
    3,699.48x = 5,105.58 × 2,302.44
  4. Step 4: Simplify right side
    3,699.48x = 11,755,291.62
  5. Step 5: Solve for x
    x = 11,755,291.62/3,699.48
  6. Step 6: Final answer
    x = 3,177.55

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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.