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Finding the Fourth Proportional to 3,657.39, 5,488.19 and 3,627.67

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Solution

The fourth proportional to 3,657.39, 5,488.19 and 3,627.67 is: 5,443.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.39 : 5,488.19 = 3,627.67 : x
  2. Step 2: Convert to fraction form
    3,657.39/5,488.19 = 3,627.67/x
  3. Step 3: Cross multiply
    3,657.39x = 5,488.19 × 3,627.67
  4. Step 4: Simplify right side
    3,657.39x = 19,909,342.22
  5. Step 5: Solve for x
    x = 19,909,342.22/3,657.39
  6. Step 6: Final answer
    x = 5,443.59

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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.