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Finding the Fourth Proportional to 3,644.63, 5,032.46 and 2,934.22

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Solution

The fourth proportional to 3,644.63, 5,032.46 and 2,934.22 is: 4,051.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.63 : 5,032.46 = 2,934.22 : x
  2. Step 2: Convert to fraction form
    3,644.63/5,032.46 = 2,934.22/x
  3. Step 3: Cross multiply
    3,644.63x = 5,032.46 × 2,934.22
  4. Step 4: Simplify right side
    3,644.63x = 14,766,344.78
  5. Step 5: Solve for x
    x = 14,766,344.78/3,644.63
  6. Step 6: Final answer
    x = 4,051.53

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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.