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Finding the Fourth Proportional to 3,704.32, 5,111.96 and 2,048.32

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Solution

The fourth proportional to 3,704.32, 5,111.96 and 2,048.32 is: 2,826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.32 : 5,111.96 = 2,048.32 : x
  2. Step 2: Convert to fraction form
    3,704.32/5,111.96 = 2,048.32/x
  3. Step 3: Cross multiply
    3,704.32x = 5,111.96 × 2,048.32
  4. Step 4: Simplify right side
    3,704.32x = 10,470,929.91
  5. Step 5: Solve for x
    x = 10,470,929.91/3,704.32
  6. Step 6: Final answer
    x = 2,826.68

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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.