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Finding the Fourth Proportional to 4,829.53, 7,242.89 and 2,195.57

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Solution

The fourth proportional to 4,829.53, 7,242.89 and 2,195.57 is: 3,292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.53 : 7,242.89 = 2,195.57 : x
  2. Step 2: Convert to fraction form
    4,829.53/7,242.89 = 2,195.57/x
  3. Step 3: Cross multiply
    4,829.53x = 7,242.89 × 2,195.57
  4. Step 4: Simplify right side
    4,829.53x = 15,902,235.78
  5. Step 5: Solve for x
    x = 15,902,235.78/4,829.53
  6. Step 6: Final answer
    x = 3,292.71

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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.