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Finding the Fourth Proportional to 3,697.59, 5,102.76 and 2,104.19

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Solution

The fourth proportional to 3,697.59, 5,102.76 and 2,104.19 is: 2,903.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.59 : 5,102.76 = 2,104.19 : x
  2. Step 2: Convert to fraction form
    3,697.59/5,102.76 = 2,104.19/x
  3. Step 3: Cross multiply
    3,697.59x = 5,102.76 × 2,104.19
  4. Step 4: Simplify right side
    3,697.59x = 10,737,151.05
  5. Step 5: Solve for x
    x = 10,737,151.05/3,697.59
  6. Step 6: Final answer
    x = 2,903.82

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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.