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Finding the Fourth Proportional to 4,181.64, 6,272.55 and 1,408.41

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Solution

The fourth proportional to 4,181.64, 6,272.55 and 1,408.41 is: 2,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.64 : 6,272.55 = 1,408.41 : x
  2. Step 2: Convert to fraction form
    4,181.64/6,272.55 = 1,408.41/x
  3. Step 3: Cross multiply
    4,181.64x = 6,272.55 × 1,408.41
  4. Step 4: Simplify right side
    4,181.64x = 8,834,322.15
  5. Step 5: Solve for x
    x = 8,834,322.15/4,181.64
  6. Step 6: Final answer
    x = 2,112.65

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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.