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Finding the Fourth Proportional to 3,396.56, 4,685.52 and 2,346.80

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Solution

The fourth proportional to 3,396.56, 4,685.52 and 2,346.80 is: 3,237.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.56 : 4,685.52 = 2,346.80 : x
  2. Step 2: Convert to fraction form
    3,396.56/4,685.52 = 2,346.80/x
  3. Step 3: Cross multiply
    3,396.56x = 4,685.52 × 2,346.80
  4. Step 4: Simplify right side
    3,396.56x = 10,995,978.34
  5. Step 5: Solve for x
    x = 10,995,978.34/3,396.56
  6. Step 6: Final answer
    x = 3,237.39

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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.