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Finding the Fourth Proportional to 3,696.94, 5,102.40 and 2,125

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Solution

The fourth proportional to 3,696.94, 5,102.40 and 2,125 is: 2,932.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.94 : 5,102.40 = 2,125 : x
  2. Step 2: Convert to fraction form
    3,696.94/5,102.40 = 2,125/x
  3. Step 3: Cross multiply
    3,696.94x = 5,102.40 × 2,125
  4. Step 4: Simplify right side
    3,696.94x = 10,842,600
  5. Step 5: Solve for x
    x = 10,842,600/3,696.94
  6. Step 6: Final answer
    x = 2,932.86

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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.