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Finding the Fourth Proportional to 5,638.67, 8,460.96 and 2,309.39

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Solution

The fourth proportional to 5,638.67, 8,460.96 and 2,309.39 is: 3,465.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.67 : 8,460.96 = 2,309.39 : x
  2. Step 2: Convert to fraction form
    5,638.67/8,460.96 = 2,309.39/x
  3. Step 3: Cross multiply
    5,638.67x = 8,460.96 × 2,309.39
  4. Step 4: Simplify right side
    5,638.67x = 19,539,614.11
  5. Step 5: Solve for x
    x = 19,539,614.11/5,638.67
  6. Step 6: Final answer
    x = 3,465.29

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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.