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Finding the Fourth Proportional to 4,293.88, 6,429.78 and 3,805.48

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Solution

The fourth proportional to 4,293.88, 6,429.78 and 3,805.48 is: 5,698.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293.88 : 6,429.78 = 3,805.48 : x
  2. Step 2: Convert to fraction form
    4,293.88/6,429.78 = 3,805.48/x
  3. Step 3: Cross multiply
    4,293.88x = 6,429.78 × 3,805.48
  4. Step 4: Simplify right side
    4,293.88x = 24,468,399.19
  5. Step 5: Solve for x
    x = 24,468,399.19/4,293.88
  6. Step 6: Final answer
    x = 5,698.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.