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Finding the Fourth Proportional to 3,698.64, 5,104.80 and 2,127.69

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Solution

The fourth proportional to 3,698.64, 5,104.80 and 2,127.69 is: 2,936.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.64 : 5,104.80 = 2,127.69 : x
  2. Step 2: Convert to fraction form
    3,698.64/5,104.80 = 2,127.69/x
  3. Step 3: Cross multiply
    3,698.64x = 5,104.80 × 2,127.69
  4. Step 4: Simplify right side
    3,698.64x = 10,861,431.91
  5. Step 5: Solve for x
    x = 10,861,431.91/3,698.64
  6. Step 6: Final answer
    x = 2,936.60

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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.