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Finding the Fourth Proportional to 4,571.49, 6,852.05 and 2,101.21

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Solution

The fourth proportional to 4,571.49, 6,852.05 and 2,101.21 is: 3,149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.49 : 6,852.05 = 2,101.21 : x
  2. Step 2: Convert to fraction form
    4,571.49/6,852.05 = 2,101.21/x
  3. Step 3: Cross multiply
    4,571.49x = 6,852.05 × 2,101.21
  4. Step 4: Simplify right side
    4,571.49x = 14,397,561.72
  5. Step 5: Solve for x
    x = 14,397,561.72/4,571.49
  6. Step 6: Final answer
    x = 3,149.42

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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.