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Finding the Fourth Proportional to 4,034.90, 6,052.14 and 3,821.60

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Solution

The fourth proportional to 4,034.90, 6,052.14 and 3,821.60 is: 5,732.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,034.90 : 6,052.14 = 3,821.60 : x
  2. Step 2: Convert to fraction form
    4,034.90/6,052.14 = 3,821.60/x
  3. Step 3: Cross multiply
    4,034.90x = 6,052.14 × 3,821.60
  4. Step 4: Simplify right side
    4,034.90x = 23,128,827.96
  5. Step 5: Solve for x
    x = 23,128,827.96/4,034.90
  6. Step 6: Final answer
    x = 5,732.20

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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.