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Finding the Fourth Proportional to 6,429.94, 8,873.38 and 3,778.18

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Solution

The fourth proportional to 6,429.94, 8,873.38 and 3,778.18 is: 5,213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.94 : 8,873.38 = 3,778.18 : x
  2. Step 2: Convert to fraction form
    6,429.94/8,873.38 = 3,778.18/x
  3. Step 3: Cross multiply
    6,429.94x = 8,873.38 × 3,778.18
  4. Step 4: Simplify right side
    6,429.94x = 33,525,226.85
  5. Step 5: Solve for x
    x = 33,525,226.85/6,429.94
  6. Step 6: Final answer
    x = 5,213.93

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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.