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Finding the Fourth Proportional to 5,390.89, 8,090.89 and 2,106.34

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Solution

The fourth proportional to 5,390.89, 8,090.89 and 2,106.34 is: 3,161.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.89 : 8,090.89 = 2,106.34 : x
  2. Step 2: Convert to fraction form
    5,390.89/8,090.89 = 2,106.34/x
  3. Step 3: Cross multiply
    5,390.89x = 8,090.89 × 2,106.34
  4. Step 4: Simplify right side
    5,390.89x = 17,042,139.75
  5. Step 5: Solve for x
    x = 17,042,139.75/5,390.89
  6. Step 6: Final answer
    x = 3,161.29

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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.