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Finding the Fourth Proportional to 3,823.90, 5,277.72 and 2,252.86

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Solution

The fourth proportional to 3,823.90, 5,277.72 and 2,252.86 is: 3,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.90 : 5,277.72 = 2,252.86 : x
  2. Step 2: Convert to fraction form
    3,823.90/5,277.72 = 2,252.86/x
  3. Step 3: Cross multiply
    3,823.90x = 5,277.72 × 2,252.86
  4. Step 4: Simplify right side
    3,823.90x = 11,889,964.28
  5. Step 5: Solve for x
    x = 11,889,964.28/3,823.90
  6. Step 6: Final answer
    x = 3,109.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.