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Finding the Fourth Proportional to 3,681.45, 5,525.82 and 3,069.09

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Solution

The fourth proportional to 3,681.45, 5,525.82 and 3,069.09 is: 4,606.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.45 : 5,525.82 = 3,069.09 : x
  2. Step 2: Convert to fraction form
    3,681.45/5,525.82 = 3,069.09/x
  3. Step 3: Cross multiply
    3,681.45x = 5,525.82 × 3,069.09
  4. Step 4: Simplify right side
    3,681.45x = 16,959,238.90
  5. Step 5: Solve for x
    x = 16,959,238.90/3,681.45
  6. Step 6: Final answer
    x = 4,606.67

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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.