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Finding the Fourth Proportional to 3,696.48, 5,135.40 and 3,662.64

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Solution

The fourth proportional to 3,696.48, 5,135.40 and 3,662.64 is: 5,088.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.48 : 5,135.40 = 3,662.64 : x
  2. Step 2: Convert to fraction form
    3,696.48/5,135.40 = 3,662.64/x
  3. Step 3: Cross multiply
    3,696.48x = 5,135.40 × 3,662.64
  4. Step 4: Simplify right side
    3,696.48x = 18,809,121.46
  5. Step 5: Solve for x
    x = 18,809,121.46/3,696.48
  6. Step 6: Final answer
    x = 5,088.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.