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Finding the Fourth Proportional to 5,851, 8,074.38 and 3,367.48

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Solution

The fourth proportional to 5,851, 8,074.38 and 3,367.48 is: 4,647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851 : 8,074.38 = 3,367.48 : x
  2. Step 2: Convert to fraction form
    5,851/8,074.38 = 3,367.48/x
  3. Step 3: Cross multiply
    5,851x = 8,074.38 × 3,367.48
  4. Step 4: Simplify right side
    5,851x = 27,190,313.16
  5. Step 5: Solve for x
    x = 27,190,313.16/5,851
  6. Step 6: Final answer
    x = 4,647.12

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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.