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Finding the Fourth Proportional to 4,852.85, 6,693.09 and 3,149.50

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Solution

The fourth proportional to 4,852.85, 6,693.09 and 3,149.50 is: 4,343.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.85 : 6,693.09 = 3,149.50 : x
  2. Step 2: Convert to fraction form
    4,852.85/6,693.09 = 3,149.50/x
  3. Step 3: Cross multiply
    4,852.85x = 6,693.09 × 3,149.50
  4. Step 4: Simplify right side
    4,852.85x = 21,079,879.82
  5. Step 5: Solve for x
    x = 21,079,879.82/4,852.85
  6. Step 6: Final answer
    x = 4,343.81

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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.