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Finding the Fourth Proportional to 4,806, 6,635.52 and 2,946.24

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Solution

The fourth proportional to 4,806, 6,635.52 and 2,946.24 is: 4,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806 : 6,635.52 = 2,946.24 : x
  2. Step 2: Convert to fraction form
    4,806/6,635.52 = 2,946.24/x
  3. Step 3: Cross multiply
    4,806x = 6,635.52 × 2,946.24
  4. Step 4: Simplify right side
    4,806x = 19,549,834.44
  5. Step 5: Solve for x
    x = 19,549,834.44/4,806
  6. Step 6: Final answer
    x = 4,067.80

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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.