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Finding the Fourth Proportional to 3,827, 5,740.52 and 1,091

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Solution

The fourth proportional to 3,827, 5,740.52 and 1,091 is: 1,636.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827 : 5,740.52 = 1,091 : x
  2. Step 2: Convert to fraction form
    3,827/5,740.52 = 1,091/x
  3. Step 3: Cross multiply
    3,827x = 5,740.52 × 1,091
  4. Step 4: Simplify right side
    3,827x = 6,262,907.32
  5. Step 5: Solve for x
    x = 6,262,907.32/3,827
  6. Step 6: Final answer
    x = 1,636.51

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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.