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Finding the Fourth Proportional to 4,106.56, 5,653.92 and 3,323.20

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Solution

The fourth proportional to 4,106.56, 5,653.92 and 3,323.20 is: 4,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.56 : 5,653.92 = 3,323.20 : x
  2. Step 2: Convert to fraction form
    4,106.56/5,653.92 = 3,323.20/x
  3. Step 3: Cross multiply
    4,106.56x = 5,653.92 × 3,323.20
  4. Step 4: Simplify right side
    4,106.56x = 18,789,106.94
  5. Step 5: Solve for x
    x = 18,789,106.94/4,106.56
  6. Step 6: Final answer
    x = 4,575.39

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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.