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Finding the Fourth Proportional to 6,378.48, 8,805.36 and 3,725.04

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Solution

The fourth proportional to 6,378.48, 8,805.36 and 3,725.04 is: 5,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.48 : 8,805.36 = 3,725.04 : x
  2. Step 2: Convert to fraction form
    6,378.48/8,805.36 = 3,725.04/x
  3. Step 3: Cross multiply
    6,378.48x = 8,805.36 × 3,725.04
  4. Step 4: Simplify right side
    6,378.48x = 32,800,318.21
  5. Step 5: Solve for x
    x = 32,800,318.21/6,378.48
  6. Step 6: Final answer
    x = 5,142.34

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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.