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Finding the Fourth Proportional to 3,775.64, 5,638.03 and 3,083.68

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Solution

The fourth proportional to 3,775.64, 5,638.03 and 3,083.68 is: 4,604.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.64 : 5,638.03 = 3,083.68 : x
  2. Step 2: Convert to fraction form
    3,775.64/5,638.03 = 3,083.68/x
  3. Step 3: Cross multiply
    3,775.64x = 5,638.03 × 3,083.68
  4. Step 4: Simplify right side
    3,775.64x = 17,385,858.55
  5. Step 5: Solve for x
    x = 17,385,858.55/3,775.64
  6. Step 6: Final answer
    x = 4,604.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.