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Finding the Fourth Proportional to 3,738.40, 5,608.80 and 1,657.60

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Solution

The fourth proportional to 3,738.40, 5,608.80 and 1,657.60 is: 2,486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.40 : 5,608.80 = 1,657.60 : x
  2. Step 2: Convert to fraction form
    3,738.40/5,608.80 = 1,657.60/x
  3. Step 3: Cross multiply
    3,738.40x = 5,608.80 × 1,657.60
  4. Step 4: Simplify right side
    3,738.40x = 9,297,146.88
  5. Step 5: Solve for x
    x = 9,297,146.88/3,738.40
  6. Step 6: Final answer
    x = 2,486.93

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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.