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Finding the Fourth Proportional to 5,505.76, 7,599.36 and 3,408.76

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Solution

The fourth proportional to 5,505.76, 7,599.36 and 3,408.76 is: 4,704.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505.76 : 7,599.36 = 3,408.76 : x
  2. Step 2: Convert to fraction form
    5,505.76/7,599.36 = 3,408.76/x
  3. Step 3: Cross multiply
    5,505.76x = 7,599.36 × 3,408.76
  4. Step 4: Simplify right side
    5,505.76x = 25,904,394.39
  5. Step 5: Solve for x
    x = 25,904,394.39/5,505.76
  6. Step 6: Final answer
    x = 4,704.96

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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.