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Finding the Fourth Proportional to 3,109.36, 4,657.02 and 2,410.44

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Solution

The fourth proportional to 3,109.36, 4,657.02 and 2,410.44 is: 3,610.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.36 : 4,657.02 = 2,410.44 : x
  2. Step 2: Convert to fraction form
    3,109.36/4,657.02 = 2,410.44/x
  3. Step 3: Cross multiply
    3,109.36x = 4,657.02 × 2,410.44
  4. Step 4: Simplify right side
    3,109.36x = 11,225,467.29
  5. Step 5: Solve for x
    x = 11,225,467.29/3,109.36
  6. Step 6: Final answer
    x = 3,610.22

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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.