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Finding the Fourth Proportional to 3,834.52, 5,293.30 and 2,419.48

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Solution

The fourth proportional to 3,834.52, 5,293.30 and 2,419.48 is: 3,339.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.52 : 5,293.30 = 2,419.48 : x
  2. Step 2: Convert to fraction form
    3,834.52/5,293.30 = 2,419.48/x
  3. Step 3: Cross multiply
    3,834.52x = 5,293.30 × 2,419.48
  4. Step 4: Simplify right side
    3,834.52x = 12,807,033.48
  5. Step 5: Solve for x
    x = 12,807,033.48/3,834.52
  6. Step 6: Final answer
    x = 3,339.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.