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Finding the Fourth Proportional to 3,699.54, 5,103.81 and 2,299.86

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Solution

The fourth proportional to 3,699.54, 5,103.81 and 2,299.86 is: 3,172.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.54 : 5,103.81 = 2,299.86 : x
  2. Step 2: Convert to fraction form
    3,699.54/5,103.81 = 2,299.86/x
  3. Step 3: Cross multiply
    3,699.54x = 5,103.81 × 2,299.86
  4. Step 4: Simplify right side
    3,699.54x = 11,738,048.47
  5. Step 5: Solve for x
    x = 11,738,048.47/3,699.54
  6. Step 6: Final answer
    x = 3,172.84

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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.