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Finding the Fourth Proportional to 3,696.54, 5,099.64 and 2,124.30

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Solution

The fourth proportional to 3,696.54, 5,099.64 and 2,124.30 is: 2,930.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.54 : 5,099.64 = 2,124.30 : x
  2. Step 2: Convert to fraction form
    3,696.54/5,099.64 = 2,124.30/x
  3. Step 3: Cross multiply
    3,696.54x = 5,099.64 × 2,124.30
  4. Step 4: Simplify right side
    3,696.54x = 10,833,165.25
  5. Step 5: Solve for x
    x = 10,833,165.25/3,696.54
  6. Step 6: Final answer
    x = 2,930.62

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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.