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Finding the Fourth Proportional to 4,181.58, 6,280.56 and 4,066.56

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Solution

The fourth proportional to 4,181.58, 6,280.56 and 4,066.56 is: 6,107.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.58 : 6,280.56 = 4,066.56 : x
  2. Step 2: Convert to fraction form
    4,181.58/6,280.56 = 4,066.56/x
  3. Step 3: Cross multiply
    4,181.58x = 6,280.56 × 4,066.56
  4. Step 4: Simplify right side
    4,181.58x = 25,540,274.07
  5. Step 5: Solve for x
    x = 25,540,274.07/4,181.58
  6. Step 6: Final answer
    x = 6,107.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.