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Finding the Fourth Proportional to 4,676.78, 6,462.18 and 3,740.31

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Solution

The fourth proportional to 4,676.78, 6,462.18 and 3,740.31 is: 5,168.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.78 : 6,462.18 = 3,740.31 : x
  2. Step 2: Convert to fraction form
    4,676.78/6,462.18 = 3,740.31/x
  3. Step 3: Cross multiply
    4,676.78x = 6,462.18 × 3,740.31
  4. Step 4: Simplify right side
    4,676.78x = 24,170,556.48
  5. Step 5: Solve for x
    x = 24,170,556.48/4,676.78
  6. Step 6: Final answer
    x = 5,168.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.