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Finding the Fourth Proportional to 4,844.64, 7,261.92 and 3,872.64

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Solution

The fourth proportional to 4,844.64, 7,261.92 and 3,872.64 is: 5,804.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,844.64 : 7,261.92 = 3,872.64 : x
  2. Step 2: Convert to fraction form
    4,844.64/7,261.92 = 3,872.64/x
  3. Step 3: Cross multiply
    4,844.64x = 7,261.92 × 3,872.64
  4. Step 4: Simplify right side
    4,844.64x = 28,122,801.87
  5. Step 5: Solve for x
    x = 28,122,801.87/4,844.64
  6. Step 6: Final answer
    x = 5,804.93

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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.