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Finding the Fourth Proportional to 5,380.23, 8,077.23 and 4,148.49

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Solution

The fourth proportional to 5,380.23, 8,077.23 and 4,148.49 is: 6,228.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.23 : 8,077.23 = 4,148.49 : x
  2. Step 2: Convert to fraction form
    5,380.23/8,077.23 = 4,148.49/x
  3. Step 3: Cross multiply
    5,380.23x = 8,077.23 × 4,148.49
  4. Step 4: Simplify right side
    5,380.23x = 33,508,307.88
  5. Step 5: Solve for x
    x = 33,508,307.88/5,380.23
  6. Step 6: Final answer
    x = 6,228.04

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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.