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Finding the Fourth Proportional to 4,834.70, 6,672.02 and 2,738.82

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Solution

The fourth proportional to 4,834.70, 6,672.02 and 2,738.82 is: 3,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.70 : 6,672.02 = 2,738.82 : x
  2. Step 2: Convert to fraction form
    4,834.70/6,672.02 = 2,738.82/x
  3. Step 3: Cross multiply
    4,834.70x = 6,672.02 × 2,738.82
  4. Step 4: Simplify right side
    4,834.70x = 18,273,448.12
  5. Step 5: Solve for x
    x = 18,273,448.12/4,834.70
  6. Step 6: Final answer
    x = 3,779.65

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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.