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Finding the Fourth Proportional to 3,696.39, 5,100.81 and 2,017.77

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Solution

The fourth proportional to 3,696.39, 5,100.81 and 2,017.77 is: 2,784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.39 : 5,100.81 = 2,017.77 : x
  2. Step 2: Convert to fraction form
    3,696.39/5,100.81 = 2,017.77/x
  3. Step 3: Cross multiply
    3,696.39x = 5,100.81 × 2,017.77
  4. Step 4: Simplify right side
    3,696.39x = 10,292,261.39
  5. Step 5: Solve for x
    x = 10,292,261.39/3,696.39
  6. Step 6: Final answer
    x = 2,784.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.