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Finding the Fourth Proportional to 3,696.24, 5,100.72 and 2,017.71

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Solution

The fourth proportional to 3,696.24, 5,100.72 and 2,017.71 is: 2,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.24 : 5,100.72 = 2,017.71 : x
  2. Step 2: Convert to fraction form
    3,696.24/5,100.72 = 2,017.71/x
  3. Step 3: Cross multiply
    3,696.24x = 5,100.72 × 2,017.71
  4. Step 4: Simplify right side
    3,696.24x = 10,291,773.75
  5. Step 5: Solve for x
    x = 10,291,773.75/3,696.24
  6. Step 6: Final answer
    x = 2,784.39

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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.