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Finding the Fourth Proportional to 4,571.27, 6,852.80 and 1,648.89

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Solution

The fourth proportional to 4,571.27, 6,852.80 and 1,648.89 is: 2,471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.27 : 6,852.80 = 1,648.89 : x
  2. Step 2: Convert to fraction form
    4,571.27/6,852.80 = 1,648.89/x
  3. Step 3: Cross multiply
    4,571.27x = 6,852.80 × 1,648.89
  4. Step 4: Simplify right side
    4,571.27x = 11,299,505.15
  5. Step 5: Solve for x
    x = 11,299,505.15/4,571.27
  6. Step 6: Final answer
    x = 2,471.86

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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.