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Finding the Fourth Proportional to 3,778.56, 5,671.49 and 1,832.13

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Solution

The fourth proportional to 3,778.56, 5,671.49 and 1,832.13 is: 2,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.56 : 5,671.49 = 1,832.13 : x
  2. Step 2: Convert to fraction form
    3,778.56/5,671.49 = 1,832.13/x
  3. Step 3: Cross multiply
    3,778.56x = 5,671.49 × 1,832.13
  4. Step 4: Simplify right side
    3,778.56x = 10,390,897.81
  5. Step 5: Solve for x
    x = 10,390,897.81/3,778.56
  6. Step 6: Final answer
    x = 2,749.96

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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.