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Finding the Fourth Proportional to 3,610.36, 5,416.80 and 1,856.80

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Solution

The fourth proportional to 3,610.36, 5,416.80 and 1,856.80 is: 2,785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.36 : 5,416.80 = 1,856.80 : x
  2. Step 2: Convert to fraction form
    3,610.36/5,416.80 = 1,856.80/x
  3. Step 3: Cross multiply
    3,610.36x = 5,416.80 × 1,856.80
  4. Step 4: Simplify right side
    3,610.36x = 10,057,914.24
  5. Step 5: Solve for x
    x = 10,057,914.24/3,610.36
  6. Step 6: Final answer
    x = 2,785.85

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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.