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Finding the Fourth Proportional to 3,928.64, 5,894.24 and 1,589.22

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Solution

The fourth proportional to 3,928.64, 5,894.24 and 1,589.22 is: 2,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.64 : 5,894.24 = 1,589.22 : x
  2. Step 2: Convert to fraction form
    3,928.64/5,894.24 = 1,589.22/x
  3. Step 3: Cross multiply
    3,928.64x = 5,894.24 × 1,589.22
  4. Step 4: Simplify right side
    3,928.64x = 9,367,236.15
  5. Step 5: Solve for x
    x = 9,367,236.15/3,928.64
  6. Step 6: Final answer
    x = 2,384.35

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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.