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Finding the Fourth Proportional to 3,704.80, 5,109.60 and 2,657.44

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Solution

The fourth proportional to 3,704.80, 5,109.60 and 2,657.44 is: 3,665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.80 : 5,109.60 = 2,657.44 : x
  2. Step 2: Convert to fraction form
    3,704.80/5,109.60 = 2,657.44/x
  3. Step 3: Cross multiply
    3,704.80x = 5,109.60 × 2,657.44
  4. Step 4: Simplify right side
    3,704.80x = 13,578,455.42
  5. Step 5: Solve for x
    x = 13,578,455.42/3,704.80
  6. Step 6: Final answer
    x = 3,665.10

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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.