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Finding the Fourth Proportional to 3,674.68, 5,069.38 and 2,558.36

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Solution

The fourth proportional to 3,674.68, 5,069.38 and 2,558.36 is: 3,529.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.68 : 5,069.38 = 2,558.36 : x
  2. Step 2: Convert to fraction form
    3,674.68/5,069.38 = 2,558.36/x
  3. Step 3: Cross multiply
    3,674.68x = 5,069.38 × 2,558.36
  4. Step 4: Simplify right side
    3,674.68x = 12,969,299.02
  5. Step 5: Solve for x
    x = 12,969,299.02/3,674.68
  6. Step 6: Final answer
    x = 3,529.37

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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.