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Finding the Fourth Proportional to 4,392, 6,582.26 and 3,835.31

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Solution

The fourth proportional to 4,392, 6,582.26 and 3,835.31 is: 5,747.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,392 : 6,582.26 = 3,835.31 : x
  2. Step 2: Convert to fraction form
    4,392/6,582.26 = 3,835.31/x
  3. Step 3: Cross multiply
    4,392x = 6,582.26 × 3,835.31
  4. Step 4: Simplify right side
    4,392x = 25,245,007.60
  5. Step 5: Solve for x
    x = 25,245,007.60/4,392
  6. Step 6: Final answer
    x = 5,747.95

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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.