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Finding the Fourth Proportional to 5,675.55, 7,834.29 and 3,286.59

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Solution

The fourth proportional to 5,675.55, 7,834.29 and 3,286.59 is: 4,536.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.55 : 7,834.29 = 3,286.59 : x
  2. Step 2: Convert to fraction form
    5,675.55/7,834.29 = 3,286.59/x
  3. Step 3: Cross multiply
    5,675.55x = 7,834.29 × 3,286.59
  4. Step 4: Simplify right side
    5,675.55x = 25,748,099.17
  5. Step 5: Solve for x
    x = 25,748,099.17/5,675.55
  6. Step 6: Final answer
    x = 4,536.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.