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Finding the Fourth Proportional to 3,614.42, 5,414.07 and 2,309.26

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Solution

The fourth proportional to 3,614.42, 5,414.07 and 2,309.26 is: 3,459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.42 : 5,414.07 = 2,309.26 : x
  2. Step 2: Convert to fraction form
    3,614.42/5,414.07 = 2,309.26/x
  3. Step 3: Cross multiply
    3,614.42x = 5,414.07 × 2,309.26
  4. Step 4: Simplify right side
    3,614.42x = 12,502,495.29
  5. Step 5: Solve for x
    x = 12,502,495.29/3,614.42
  6. Step 6: Final answer
    x = 3,459.06

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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.