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Finding the Fourth Proportional to 3,953.39, 5,930.93 and 1,180.28

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Solution

The fourth proportional to 3,953.39, 5,930.93 and 1,180.28 is: 1,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.39 : 5,930.93 = 1,180.28 : x
  2. Step 2: Convert to fraction form
    3,953.39/5,930.93 = 1,180.28/x
  3. Step 3: Cross multiply
    3,953.39x = 5,930.93 × 1,180.28
  4. Step 4: Simplify right side
    3,953.39x = 7,000,158.06
  5. Step 5: Solve for x
    x = 7,000,158.06/3,953.39
  6. Step 6: Final answer
    x = 1,770.67

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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.