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Finding the Fourth Proportional to 4,901.44, 6,762.21 and 3,223.75

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Solution

The fourth proportional to 4,901.44, 6,762.21 and 3,223.75 is: 4,447.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.44 : 6,762.21 = 3,223.75 : x
  2. Step 2: Convert to fraction form
    4,901.44/6,762.21 = 3,223.75/x
  3. Step 3: Cross multiply
    4,901.44x = 6,762.21 × 3,223.75
  4. Step 4: Simplify right side
    4,901.44x = 21,799,674.49
  5. Step 5: Solve for x
    x = 21,799,674.49/4,901.44
  6. Step 6: Final answer
    x = 4,447.61

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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.