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Finding the Fourth Proportional to 4,676.64, 7,014.24 and 1,556.70

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Solution

The fourth proportional to 4,676.64, 7,014.24 and 1,556.70 is: 2,334.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.64 : 7,014.24 = 1,556.70 : x
  2. Step 2: Convert to fraction form
    4,676.64/7,014.24 = 1,556.70/x
  3. Step 3: Cross multiply
    4,676.64x = 7,014.24 × 1,556.70
  4. Step 4: Simplify right side
    4,676.64x = 10,919,067.41
  5. Step 5: Solve for x
    x = 10,919,067.41/4,676.64
  6. Step 6: Final answer
    x = 2,334.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.