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Finding the Fourth Proportional to 4,827.75, 7,241.61 and 3,172.34

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Solution

The fourth proportional to 4,827.75, 7,241.61 and 3,172.34 is: 4,758.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.75 : 7,241.61 = 3,172.34 : x
  2. Step 2: Convert to fraction form
    4,827.75/7,241.61 = 3,172.34/x
  3. Step 3: Cross multiply
    4,827.75x = 7,241.61 × 3,172.34
  4. Step 4: Simplify right side
    4,827.75x = 22,972,812.86
  5. Step 5: Solve for x
    x = 22,972,812.86/4,827.75
  6. Step 6: Final answer
    x = 4,758.49

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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.