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Finding the Fourth Proportional to 5,202.44, 7,806.74 and 1,917.83

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Solution

The fourth proportional to 5,202.44, 7,806.74 and 1,917.83 is: 2,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.44 : 7,806.74 = 1,917.83 : x
  2. Step 2: Convert to fraction form
    5,202.44/7,806.74 = 1,917.83/x
  3. Step 3: Cross multiply
    5,202.44x = 7,806.74 × 1,917.83
  4. Step 4: Simplify right side
    5,202.44x = 14,972,000.17
  5. Step 5: Solve for x
    x = 14,972,000.17/5,202.44
  6. Step 6: Final answer
    x = 2,877.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.