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Finding the Fourth Proportional to 5,204.94, 7,807.17 and 1,917.81

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Solution

The fourth proportional to 5,204.94, 7,807.17 and 1,917.81 is: 2,876.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.94 : 7,807.17 = 1,917.81 : x
  2. Step 2: Convert to fraction form
    5,204.94/7,807.17 = 1,917.81/x
  3. Step 3: Cross multiply
    5,204.94x = 7,807.17 × 1,917.81
  4. Step 4: Simplify right side
    5,204.94x = 14,972,668.70
  5. Step 5: Solve for x
    x = 14,972,668.70/5,204.94
  6. Step 6: Final answer
    x = 2,876.63

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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.