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Finding the Fourth Proportional to 3,697.68, 5,546.48 and 1,505.88

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Solution

The fourth proportional to 3,697.68, 5,546.48 and 1,505.88 is: 2,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.68 : 5,546.48 = 1,505.88 : x
  2. Step 2: Convert to fraction form
    3,697.68/5,546.48 = 1,505.88/x
  3. Step 3: Cross multiply
    3,697.68x = 5,546.48 × 1,505.88
  4. Step 4: Simplify right side
    3,697.68x = 8,352,333.30
  5. Step 5: Solve for x
    x = 8,352,333.30/3,697.68
  6. Step 6: Final answer
    x = 2,258.80

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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.