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Finding the Fourth Proportional to 3,520.74, 5,258.62 and 3,186.67

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Solution

The fourth proportional to 3,520.74, 5,258.62 and 3,186.67 is: 4,759.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520.74 : 5,258.62 = 3,186.67 : x
  2. Step 2: Convert to fraction form
    3,520.74/5,258.62 = 3,186.67/x
  3. Step 3: Cross multiply
    3,520.74x = 5,258.62 × 3,186.67
  4. Step 4: Simplify right side
    3,520.74x = 16,757,486.60
  5. Step 5: Solve for x
    x = 16,757,486.60/3,520.74
  6. Step 6: Final answer
    x = 4,759.65

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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.