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Finding the Fourth Proportional to 3,696.70, 5,102.67 and 2,205.10

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Solution

The fourth proportional to 3,696.70, 5,102.67 and 2,205.10 is: 3,043.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.70 : 5,102.67 = 2,205.10 : x
  2. Step 2: Convert to fraction form
    3,696.70/5,102.67 = 2,205.10/x
  3. Step 3: Cross multiply
    3,696.70x = 5,102.67 × 2,205.10
  4. Step 4: Simplify right side
    3,696.70x = 11,251,897.62
  5. Step 5: Solve for x
    x = 11,251,897.62/3,696.70
  6. Step 6: Final answer
    x = 3,043.77

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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.