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Finding the Fourth Proportional to 3,673.68, 5,498.22 and 3,015.54

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Solution

The fourth proportional to 3,673.68, 5,498.22 and 3,015.54 is: 4,513.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.68 : 5,498.22 = 3,015.54 : x
  2. Step 2: Convert to fraction form
    3,673.68/5,498.22 = 3,015.54/x
  3. Step 3: Cross multiply
    3,673.68x = 5,498.22 × 3,015.54
  4. Step 4: Simplify right side
    3,673.68x = 16,580,074.85
  5. Step 5: Solve for x
    x = 16,580,074.85/3,673.68
  6. Step 6: Final answer
    x = 4,513.21

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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.