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Finding the Fourth Proportional to 4,802.42, 7,204.17 and 2,614.34

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Solution

The fourth proportional to 4,802.42, 7,204.17 and 2,614.34 is: 3,921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.42 : 7,204.17 = 2,614.34 : x
  2. Step 2: Convert to fraction form
    4,802.42/7,204.17 = 2,614.34/x
  3. Step 3: Cross multiply
    4,802.42x = 7,204.17 × 2,614.34
  4. Step 4: Simplify right side
    4,802.42x = 18,834,149.80
  5. Step 5: Solve for x
    x = 18,834,149.80/4,802.42
  6. Step 6: Final answer
    x = 3,921.80

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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.