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Finding the Fourth Proportional to 3,509.94, 5,255.30 and 2,274.30

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Solution

The fourth proportional to 3,509.94, 5,255.30 and 2,274.30 is: 3,405.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.94 : 5,255.30 = 2,274.30 : x
  2. Step 2: Convert to fraction form
    3,509.94/5,255.30 = 2,274.30/x
  3. Step 3: Cross multiply
    3,509.94x = 5,255.30 × 2,274.30
  4. Step 4: Simplify right side
    3,509.94x = 11,952,128.79
  5. Step 5: Solve for x
    x = 11,952,128.79/3,509.94
  6. Step 6: Final answer
    x = 3,405.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.