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Finding the Fourth Proportional to 4,891.48, 6,748.36 and 3,002.48

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Solution

The fourth proportional to 4,891.48, 6,748.36 and 3,002.48 is: 4,142.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.48 : 6,748.36 = 3,002.48 : x
  2. Step 2: Convert to fraction form
    4,891.48/6,748.36 = 3,002.48/x
  3. Step 3: Cross multiply
    4,891.48x = 6,748.36 × 3,002.48
  4. Step 4: Simplify right side
    4,891.48x = 20,261,815.93
  5. Step 5: Solve for x
    x = 20,261,815.93/4,891.48
  6. Step 6: Final answer
    x = 4,142.27

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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.