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Finding the Fourth Proportional to 4,834.84, 6,672 and 2,738.92

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Solution

The fourth proportional to 4,834.84, 6,672 and 2,738.92 is: 3,779.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.84 : 6,672 = 2,738.92 : x
  2. Step 2: Convert to fraction form
    4,834.84/6,672 = 2,738.92/x
  3. Step 3: Cross multiply
    4,834.84x = 6,672 × 2,738.92
  4. Step 4: Simplify right side
    4,834.84x = 18,274,074.24
  5. Step 5: Solve for x
    x = 18,274,074.24/4,834.84
  6. Step 6: Final answer
    x = 3,779.66

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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.