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Finding the Fourth Proportional to 4,230.84, 6,346.26 and 2,498.52

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Solution

The fourth proportional to 4,230.84, 6,346.26 and 2,498.52 is: 3,747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.84 : 6,346.26 = 2,498.52 : x
  2. Step 2: Convert to fraction form
    4,230.84/6,346.26 = 2,498.52/x
  3. Step 3: Cross multiply
    4,230.84x = 6,346.26 × 2,498.52
  4. Step 4: Simplify right side
    4,230.84x = 15,856,257.54
  5. Step 5: Solve for x
    x = 15,856,257.54/4,230.84
  6. Step 6: Final answer
    x = 3,747.78

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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.