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Finding the Fourth Proportional to 3,509.52, 4,844.52 and 2,112

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Solution

The fourth proportional to 3,509.52, 4,844.52 and 2,112 is: 2,915.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.52 : 4,844.52 = 2,112 : x
  2. Step 2: Convert to fraction form
    3,509.52/4,844.52 = 2,112/x
  3. Step 3: Cross multiply
    3,509.52x = 4,844.52 × 2,112
  4. Step 4: Simplify right side
    3,509.52x = 10,231,626.24
  5. Step 5: Solve for x
    x = 10,231,626.24/3,509.52
  6. Step 6: Final answer
    x = 2,915.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.