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Finding the Fourth Proportional to 4,182.98, 6,284.19 and 2,452.82

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Solution

The fourth proportional to 4,182.98, 6,284.19 and 2,452.82 is: 3,684.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.98 : 6,284.19 = 2,452.82 : x
  2. Step 2: Convert to fraction form
    4,182.98/6,284.19 = 2,452.82/x
  3. Step 3: Cross multiply
    4,182.98x = 6,284.19 × 2,452.82
  4. Step 4: Simplify right side
    4,182.98x = 15,413,986.92
  5. Step 5: Solve for x
    x = 15,413,986.92/4,182.98
  6. Step 6: Final answer
    x = 3,684.93

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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.