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Finding the Fourth Proportional to 3,696.83, 5,100.52 and 2,368.22

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Solution

The fourth proportional to 3,696.83, 5,100.52 and 2,368.22 is: 3,267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.83 : 5,100.52 = 2,368.22 : x
  2. Step 2: Convert to fraction form
    3,696.83/5,100.52 = 2,368.22/x
  3. Step 3: Cross multiply
    3,696.83x = 5,100.52 × 2,368.22
  4. Step 4: Simplify right side
    3,696.83x = 12,079,153.47
  5. Step 5: Solve for x
    x = 12,079,153.47/3,696.83
  6. Step 6: Final answer
    x = 3,267.44

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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.