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Finding the Fourth Proportional to 3,589.68, 5,384.56 and 1,639.64

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Solution

The fourth proportional to 3,589.68, 5,384.56 and 1,639.64 is: 2,459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.68 : 5,384.56 = 1,639.64 : x
  2. Step 2: Convert to fraction form
    3,589.68/5,384.56 = 1,639.64/x
  3. Step 3: Cross multiply
    3,589.68x = 5,384.56 × 1,639.64
  4. Step 4: Simplify right side
    3,589.68x = 8,828,739.96
  5. Step 5: Solve for x
    x = 8,828,739.96/3,589.68
  6. Step 6: Final answer
    x = 2,459.48

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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.