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Finding the Fourth Proportional to 4,133.78, 6,200.68 and 1,055.78

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Solution

The fourth proportional to 4,133.78, 6,200.68 and 1,055.78 is: 1,583.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.78 : 6,200.68 = 1,055.78 : x
  2. Step 2: Convert to fraction form
    4,133.78/6,200.68 = 1,055.78/x
  3. Step 3: Cross multiply
    4,133.78x = 6,200.68 × 1,055.78
  4. Step 4: Simplify right side
    4,133.78x = 6,546,553.93
  5. Step 5: Solve for x
    x = 6,546,553.93/4,133.78
  6. Step 6: Final answer
    x = 1,583.67

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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.