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Finding the Fourth Proportional to 5,672.40, 8,503.20 and 5,089.20

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Solution

The fourth proportional to 5,672.40, 8,503.20 and 5,089.20 is: 7,628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.40 : 8,503.20 = 5,089.20 : x
  2. Step 2: Convert to fraction form
    5,672.40/8,503.20 = 5,089.20/x
  3. Step 3: Cross multiply
    5,672.40x = 8,503.20 × 5,089.20
  4. Step 4: Simplify right side
    5,672.40x = 43,274,485.44
  5. Step 5: Solve for x
    x = 43,274,485.44/5,672.40
  6. Step 6: Final answer
    x = 7,628.96

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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.