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Finding the Fourth Proportional to 3,645.46, 5,467.20 and 1,565.38

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Solution

The fourth proportional to 3,645.46, 5,467.20 and 1,565.38 is: 2,347.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.46 : 5,467.20 = 1,565.38 : x
  2. Step 2: Convert to fraction form
    3,645.46/5,467.20 = 1,565.38/x
  3. Step 3: Cross multiply
    3,645.46x = 5,467.20 × 1,565.38
  4. Step 4: Simplify right side
    3,645.46x = 8,558,245.54
  5. Step 5: Solve for x
    x = 8,558,245.54/3,645.46
  6. Step 6: Final answer
    x = 2,347.64

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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.