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Finding the Fourth Proportional to 6,300.24, 8,694.72 and 3,505.92

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Solution

The fourth proportional to 6,300.24, 8,694.72 and 3,505.92 is: 4,838.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.24 : 8,694.72 = 3,505.92 : x
  2. Step 2: Convert to fraction form
    6,300.24/8,694.72 = 3,505.92/x
  3. Step 3: Cross multiply
    6,300.24x = 8,694.72 × 3,505.92
  4. Step 4: Simplify right side
    6,300.24x = 30,482,992.74
  5. Step 5: Solve for x
    x = 30,482,992.74/6,300.24
  6. Step 6: Final answer
    x = 4,838.39

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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.