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Finding the Fourth Proportional to 4,052.63, 6,044.63 and 3,825.43

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Solution

The fourth proportional to 4,052.63, 6,044.63 and 3,825.43 is: 5,705.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052.63 : 6,044.63 = 3,825.43 : x
  2. Step 2: Convert to fraction form
    4,052.63/6,044.63 = 3,825.43/x
  3. Step 3: Cross multiply
    4,052.63x = 6,044.63 × 3,825.43
  4. Step 4: Simplify right side
    4,052.63x = 23,123,274.70
  5. Step 5: Solve for x
    x = 23,123,274.70/4,052.63
  6. Step 6: Final answer
    x = 5,705.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.