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Finding the Fourth Proportional to 3,509.36, 5,256.36 and 2,138.48

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Solution

The fourth proportional to 3,509.36, 5,256.36 and 2,138.48 is: 3,203.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.36 : 5,256.36 = 2,138.48 : x
  2. Step 2: Convert to fraction form
    3,509.36/5,256.36 = 2,138.48/x
  3. Step 3: Cross multiply
    3,509.36x = 5,256.36 × 2,138.48
  4. Step 4: Simplify right side
    3,509.36x = 11,240,620.73
  5. Step 5: Solve for x
    x = 11,240,620.73/3,509.36
  6. Step 6: Final answer
    x = 3,203.04

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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.