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Finding the Fourth Proportional to 3,843.84, 5,763.84 and 1,536

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Solution

The fourth proportional to 3,843.84, 5,763.84 and 1,536 is: 2,303.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.84 : 5,763.84 = 1,536 : x
  2. Step 2: Convert to fraction form
    3,843.84/5,763.84 = 1,536/x
  3. Step 3: Cross multiply
    3,843.84x = 5,763.84 × 1,536
  4. Step 4: Simplify right side
    3,843.84x = 8,853,258.24
  5. Step 5: Solve for x
    x = 8,853,258.24/3,843.84
  6. Step 6: Final answer
    x = 2,303.23

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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.