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Finding the Fourth Proportional to 3,645.25, 5,468.86 and 1,455.52

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Solution

The fourth proportional to 3,645.25, 5,468.86 and 1,455.52 is: 2,183.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.25 : 5,468.86 = 1,455.52 : x
  2. Step 2: Convert to fraction form
    3,645.25/5,468.86 = 1,455.52/x
  3. Step 3: Cross multiply
    3,645.25x = 5,468.86 × 1,455.52
  4. Step 4: Simplify right side
    3,645.25x = 7,960,014.16
  5. Step 5: Solve for x
    x = 7,960,014.16/3,645.25
  6. Step 6: Final answer
    x = 2,183.67

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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.