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Finding the Fourth Proportional to 6,215.25, 8,575.86 and 3,975.42

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Solution

The fourth proportional to 6,215.25, 8,575.86 and 3,975.42 is: 5,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215.25 : 8,575.86 = 3,975.42 : x
  2. Step 2: Convert to fraction form
    6,215.25/8,575.86 = 3,975.42/x
  3. Step 3: Cross multiply
    6,215.25x = 8,575.86 × 3,975.42
  4. Step 4: Simplify right side
    6,215.25x = 34,092,645.36
  5. Step 5: Solve for x
    x = 34,092,645.36/6,215.25
  6. Step 6: Final answer
    x = 5,485.32

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