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Finding the Fourth Proportional to 6,181.75, 8,530.50 and 3,493

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Solution

The fourth proportional to 6,181.75, 8,530.50 and 3,493 is: 4,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.75 : 8,530.50 = 3,493 : x
  2. Step 2: Convert to fraction form
    6,181.75/8,530.50 = 3,493/x
  3. Step 3: Cross multiply
    6,181.75x = 8,530.50 × 3,493
  4. Step 4: Simplify right side
    6,181.75x = 29,797,036.50
  5. Step 5: Solve for x
    x = 29,797,036.50/6,181.75
  6. Step 6: Final answer
    x = 4,820.16

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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.