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Finding the Fourth Proportional to 3,678.12, 5,518.54 and 1,704.69

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Solution

The fourth proportional to 3,678.12, 5,518.54 and 1,704.69 is: 2,557.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.12 : 5,518.54 = 1,704.69 : x
  2. Step 2: Convert to fraction form
    3,678.12/5,518.54 = 1,704.69/x
  3. Step 3: Cross multiply
    3,678.12x = 5,518.54 × 1,704.69
  4. Step 4: Simplify right side
    3,678.12x = 9,407,399.95
  5. Step 5: Solve for x
    x = 9,407,399.95/3,678.12
  6. Step 6: Final answer
    x = 2,557.67

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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.