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Finding the Fourth Proportional to 4,901.63, 6,762.46 and 3,223.94

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Solution

The fourth proportional to 4,901.63, 6,762.46 and 3,223.94 is: 4,447.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.63 : 6,762.46 = 3,223.94 : x
  2. Step 2: Convert to fraction form
    4,901.63/6,762.46 = 3,223.94/x
  3. Step 3: Cross multiply
    4,901.63x = 6,762.46 × 3,223.94
  4. Step 4: Simplify right side
    4,901.63x = 21,801,765.29
  5. Step 5: Solve for x
    x = 21,801,765.29/4,901.63
  6. Step 6: Final answer
    x = 4,447.86

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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.