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Finding the Fourth Proportional to 3,795.44, 5,693.64 and 1,486.64

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Solution

The fourth proportional to 3,795.44, 5,693.64 and 1,486.64 is: 2,230.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.44 : 5,693.64 = 1,486.64 : x
  2. Step 2: Convert to fraction form
    3,795.44/5,693.64 = 1,486.64/x
  3. Step 3: Cross multiply
    3,795.44x = 5,693.64 × 1,486.64
  4. Step 4: Simplify right side
    3,795.44x = 8,464,392.97
  5. Step 5: Solve for x
    x = 8,464,392.97/3,795.44
  6. Step 6: Final answer
    x = 2,230.15

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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.