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Finding the Fourth Proportional to 3,826.32, 5,738.72 and 1,052.27

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Solution

The fourth proportional to 3,826.32, 5,738.72 and 1,052.27 is: 1,578.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.32 : 5,738.72 = 1,052.27 : x
  2. Step 2: Convert to fraction form
    3,826.32/5,738.72 = 1,052.27/x
  3. Step 3: Cross multiply
    3,826.32x = 5,738.72 × 1,052.27
  4. Step 4: Simplify right side
    3,826.32x = 6,038,677.63
  5. Step 5: Solve for x
    x = 6,038,677.63/3,826.32
  6. Step 6: Final answer
    x = 1,578.20

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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.