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Finding the Fourth Proportional to 4,571.61, 6,852.24 and 2,101.33

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Solution

The fourth proportional to 4,571.61, 6,852.24 and 2,101.33 is: 3,149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.61 : 6,852.24 = 2,101.33 : x
  2. Step 2: Convert to fraction form
    4,571.61/6,852.24 = 2,101.33/x
  3. Step 3: Cross multiply
    4,571.61x = 6,852.24 × 2,101.33
  4. Step 4: Simplify right side
    4,571.61x = 14,398,800.35
  5. Step 5: Solve for x
    x = 14,398,800.35/4,571.61
  6. Step 6: Final answer
    x = 3,149.61

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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.