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Finding the Fourth Proportional to 3,182, 4,774.53 and 2,406.74

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Solution

The fourth proportional to 3,182, 4,774.53 and 2,406.74 is: 3,611.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182 : 4,774.53 = 2,406.74 : x
  2. Step 2: Convert to fraction form
    3,182/4,774.53 = 2,406.74/x
  3. Step 3: Cross multiply
    3,182x = 4,774.53 × 2,406.74
  4. Step 4: Simplify right side
    3,182x = 11,491,052.33
  5. Step 5: Solve for x
    x = 11,491,052.33/3,182
  6. Step 6: Final answer
    x = 3,611.27

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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.