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Finding the Fourth Proportional to 3,621, 5,427.72 and 1,674.48

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Solution

The fourth proportional to 3,621, 5,427.72 and 1,674.48 is: 2,509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,621 : 5,427.72 = 1,674.48 : x
  2. Step 2: Convert to fraction form
    3,621/5,427.72 = 1,674.48/x
  3. Step 3: Cross multiply
    3,621x = 5,427.72 × 1,674.48
  4. Step 4: Simplify right side
    3,621x = 9,088,608.59
  5. Step 5: Solve for x
    x = 9,088,608.59/3,621
  6. Step 6: Final answer
    x = 2,509.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.