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Finding the Fourth Proportional to 3,839.40, 5,762.70 and 3,292.20

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Solution

The fourth proportional to 3,839.40, 5,762.70 and 3,292.20 is: 4,941.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.40 : 5,762.70 = 3,292.20 : x
  2. Step 2: Convert to fraction form
    3,839.40/5,762.70 = 3,292.20/x
  3. Step 3: Cross multiply
    3,839.40x = 5,762.70 × 3,292.20
  4. Step 4: Simplify right side
    3,839.40x = 18,971,960.94
  5. Step 5: Solve for x
    x = 18,971,960.94/3,839.40
  6. Step 6: Final answer
    x = 4,941.39

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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.