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Finding the Fourth Proportional to 3,697.84, 5,541.90 and 2,769.58

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Solution

The fourth proportional to 3,697.84, 5,541.90 and 2,769.58 is: 4,150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.84 : 5,541.90 = 2,769.58 : x
  2. Step 2: Convert to fraction form
    3,697.84/5,541.90 = 2,769.58/x
  3. Step 3: Cross multiply
    3,697.84x = 5,541.90 × 2,769.58
  4. Step 4: Simplify right side
    3,697.84x = 15,348,735.40
  5. Step 5: Solve for x
    x = 15,348,735.40/3,697.84
  6. Step 6: Final answer
    x = 4,150.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.