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Finding the Fourth Proportional to 3,770.25, 5,656.01 and 1,172.67

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Solution

The fourth proportional to 3,770.25, 5,656.01 and 1,172.67 is: 1,759.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.25 : 5,656.01 = 1,172.67 : x
  2. Step 2: Convert to fraction form
    3,770.25/5,656.01 = 1,172.67/x
  3. Step 3: Cross multiply
    3,770.25x = 5,656.01 × 1,172.67
  4. Step 4: Simplify right side
    3,770.25x = 6,632,627.38
  5. Step 5: Solve for x
    x = 6,632,627.38/3,770.25
  6. Step 6: Final answer
    x = 1,759.20

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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.