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Finding the Fourth Proportional to 3,838.36, 5,751.64 and 2,584.28

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Solution

The fourth proportional to 3,838.36, 5,751.64 and 2,584.28 is: 3,872.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.36 : 5,751.64 = 2,584.28 : x
  2. Step 2: Convert to fraction form
    3,838.36/5,751.64 = 2,584.28/x
  3. Step 3: Cross multiply
    3,838.36x = 5,751.64 × 2,584.28
  4. Step 4: Simplify right side
    3,838.36x = 14,863,848.22
  5. Step 5: Solve for x
    x = 14,863,848.22/3,838.36
  6. Step 6: Final answer
    x = 3,872.45

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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.