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Finding the Fourth Proportional to 3,696.76, 5,101.98 and 2,124.86

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Solution

The fourth proportional to 3,696.76, 5,101.98 and 2,124.86 is: 2,932.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.76 : 5,101.98 = 2,124.86 : x
  2. Step 2: Convert to fraction form
    3,696.76/5,101.98 = 2,124.86/x
  3. Step 3: Cross multiply
    3,696.76x = 5,101.98 × 2,124.86
  4. Step 4: Simplify right side
    3,696.76x = 10,840,993.22
  5. Step 5: Solve for x
    x = 10,840,993.22/3,696.76
  6. Step 6: Final answer
    x = 2,932.57

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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.