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Finding the Fourth Proportional to 4,181.58, 5,770.26 and 2,412

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Solution

The fourth proportional to 4,181.58, 5,770.26 and 2,412 is: 3,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.58 : 5,770.26 = 2,412 : x
  2. Step 2: Convert to fraction form
    4,181.58/5,770.26 = 2,412/x
  3. Step 3: Cross multiply
    4,181.58x = 5,770.26 × 2,412
  4. Step 4: Simplify right side
    4,181.58x = 13,917,867.12
  5. Step 5: Solve for x
    x = 13,917,867.12/4,181.58
  6. Step 6: Final answer
    x = 3,328.38

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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.