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Finding the Fourth Proportional to 3,697.16, 5,063.23 and 3,648.56

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Solution

The fourth proportional to 3,697.16, 5,063.23 and 3,648.56 is: 4,996.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.16 : 5,063.23 = 3,648.56 : x
  2. Step 2: Convert to fraction form
    3,697.16/5,063.23 = 3,648.56/x
  3. Step 3: Cross multiply
    3,697.16x = 5,063.23 × 3,648.56
  4. Step 4: Simplify right side
    3,697.16x = 18,473,498.45
  5. Step 5: Solve for x
    x = 18,473,498.45/3,697.16
  6. Step 6: Final answer
    x = 4,996.67

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.