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Finding the Fourth Proportional to 3,696.48, 5,102.01 and 2,125.48

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Solution

The fourth proportional to 3,696.48, 5,102.01 and 2,125.48 is: 2,933.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.48 : 5,102.01 = 2,125.48 : x
  2. Step 2: Convert to fraction form
    3,696.48/5,102.01 = 2,125.48/x
  3. Step 3: Cross multiply
    3,696.48x = 5,102.01 × 2,125.48
  4. Step 4: Simplify right side
    3,696.48x = 10,844,220.21
  5. Step 5: Solve for x
    x = 10,844,220.21/3,696.48
  6. Step 6: Final answer
    x = 2,933.66

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