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Finding the Fourth Proportional to 3,830.13, 5,745.48 and 1,638.87

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Solution

The fourth proportional to 3,830.13, 5,745.48 and 1,638.87 is: 2,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.13 : 5,745.48 = 1,638.87 : x
  2. Step 2: Convert to fraction form
    3,830.13/5,745.48 = 1,638.87/x
  3. Step 3: Cross multiply
    3,830.13x = 5,745.48 × 1,638.87
  4. Step 4: Simplify right side
    3,830.13x = 9,416,094.81
  5. Step 5: Solve for x
    x = 9,416,094.81/3,830.13
  6. Step 6: Final answer
    x = 2,458.43

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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.