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Finding the Fourth Proportional to 5,854.38, 8,770.20 and 5,231.22

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Solution

The fourth proportional to 5,854.38, 8,770.20 and 5,231.22 is: 7,836.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.38 : 8,770.20 = 5,231.22 : x
  2. Step 2: Convert to fraction form
    5,854.38/8,770.20 = 5,231.22/x
  3. Step 3: Cross multiply
    5,854.38x = 8,770.20 × 5,231.22
  4. Step 4: Simplify right side
    5,854.38x = 45,878,845.64
  5. Step 5: Solve for x
    x = 45,878,845.64/5,854.38
  6. Step 6: Final answer
    x = 7,836.67

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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.