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Finding the Fourth Proportional to 3,873.51, 5,811.11 and 1,408.25

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Solution

The fourth proportional to 3,873.51, 5,811.11 and 1,408.25 is: 2,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.51 : 5,811.11 = 1,408.25 : x
  2. Step 2: Convert to fraction form
    3,873.51/5,811.11 = 1,408.25/x
  3. Step 3: Cross multiply
    3,873.51x = 5,811.11 × 1,408.25
  4. Step 4: Simplify right side
    3,873.51x = 8,183,495.66
  5. Step 5: Solve for x
    x = 8,183,495.66/3,873.51
  6. Step 6: Final answer
    x = 2,112.68

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1.5x scale

Why These Related Problems?

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