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Finding the Fourth Proportional to 4,137.84, 6,195.72 and 3,481.76

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Solution

The fourth proportional to 4,137.84, 6,195.72 and 3,481.76 is: 5,213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.84 : 6,195.72 = 3,481.76 : x
  2. Step 2: Convert to fraction form
    4,137.84/6,195.72 = 3,481.76/x
  3. Step 3: Cross multiply
    4,137.84x = 6,195.72 × 3,481.76
  4. Step 4: Simplify right side
    4,137.84x = 21,572,010.07
  5. Step 5: Solve for x
    x = 21,572,010.07/4,137.84
  6. Step 6: Final answer
    x = 5,213.35

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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.