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Finding the Fourth Proportional to 3,804.44, 5,704.44 and 2,924.76

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Solution

The fourth proportional to 3,804.44, 5,704.44 and 2,924.76 is: 4,385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.44 : 5,704.44 = 2,924.76 : x
  2. Step 2: Convert to fraction form
    3,804.44/5,704.44 = 2,924.76/x
  3. Step 3: Cross multiply
    3,804.44x = 5,704.44 × 2,924.76
  4. Step 4: Simplify right side
    3,804.44x = 16,684,117.93
  5. Step 5: Solve for x
    x = 16,684,117.93/3,804.44
  6. Step 6: Final answer
    x = 4,385.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.