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Finding the Fourth Proportional to 4,838.22, 6,676.82 and 2,714.22

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Solution

The fourth proportional to 4,838.22, 6,676.82 and 2,714.22 is: 3,745.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.22 : 6,676.82 = 2,714.22 : x
  2. Step 2: Convert to fraction form
    4,838.22/6,676.82 = 2,714.22/x
  3. Step 3: Cross multiply
    4,838.22x = 6,676.82 × 2,714.22
  4. Step 4: Simplify right side
    4,838.22x = 18,122,365.17
  5. Step 5: Solve for x
    x = 18,122,365.17/4,838.22
  6. Step 6: Final answer
    x = 3,745.67

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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.