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Finding the Fourth Proportional to 3,495.62, 5,243.42 and 1,274.61

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Solution

The fourth proportional to 3,495.62, 5,243.42 and 1,274.61 is: 1,911.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.62 : 5,243.42 = 1,274.61 : x
  2. Step 2: Convert to fraction form
    3,495.62/5,243.42 = 1,274.61/x
  3. Step 3: Cross multiply
    3,495.62x = 5,243.42 × 1,274.61
  4. Step 4: Simplify right side
    3,495.62x = 6,683,338.42
  5. Step 5: Solve for x
    x = 6,683,338.42/3,495.62
  6. Step 6: Final answer
    x = 1,911.92

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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.