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Finding the Fourth Proportional to 3,610.58, 5,416.02 and 1,270.80

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Solution

The fourth proportional to 3,610.58, 5,416.02 and 1,270.80 is: 1,906.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.58 : 5,416.02 = 1,270.80 : x
  2. Step 2: Convert to fraction form
    3,610.58/5,416.02 = 1,270.80/x
  3. Step 3: Cross multiply
    3,610.58x = 5,416.02 × 1,270.80
  4. Step 4: Simplify right side
    3,610.58x = 6,882,678.22
  5. Step 5: Solve for x
    x = 6,882,678.22/3,610.58
  6. Step 6: Final answer
    x = 1,906.26

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