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Finding the Fourth Proportional to 3,515.54, 5,273.91 and 1,567.67

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Solution

The fourth proportional to 3,515.54, 5,273.91 and 1,567.67 is: 2,351.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,515.54 : 5,273.91 = 1,567.67 : x
  2. Step 2: Convert to fraction form
    3,515.54/5,273.91 = 1,567.67/x
  3. Step 3: Cross multiply
    3,515.54x = 5,273.91 × 1,567.67
  4. Step 4: Simplify right side
    3,515.54x = 8,267,724.12
  5. Step 5: Solve for x
    x = 8,267,724.12/3,515.54
  6. Step 6: Final answer
    x = 2,351.77

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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.