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Finding the Fourth Proportional to 3,696.66, 5,542.74 and 1,615.50

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Solution

The fourth proportional to 3,696.66, 5,542.74 and 1,615.50 is: 2,422.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.66 : 5,542.74 = 1,615.50 : x
  2. Step 2: Convert to fraction form
    3,696.66/5,542.74 = 1,615.50/x
  3. Step 3: Cross multiply
    3,696.66x = 5,542.74 × 1,615.50
  4. Step 4: Simplify right side
    3,696.66x = 8,954,296.47
  5. Step 5: Solve for x
    x = 8,954,296.47/3,696.66
  6. Step 6: Final answer
    x = 2,422.27

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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.