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Finding the Fourth Proportional to 3,407.89, 5,111.89 and 2,245.34

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Solution

The fourth proportional to 3,407.89, 5,111.89 and 2,245.34 is: 3,368.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.89 : 5,111.89 = 2,245.34 : x
  2. Step 2: Convert to fraction form
    3,407.89/5,111.89 = 2,245.34/x
  3. Step 3: Cross multiply
    3,407.89x = 5,111.89 × 2,245.34
  4. Step 4: Simplify right side
    3,407.89x = 11,477,919.09
  5. Step 5: Solve for x
    x = 11,477,919.09/3,407.89
  6. Step 6: Final answer
    x = 3,368.04

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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.