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Finding the Fourth Proportional to 4,188.49, 5,780.43 and 2,863.98

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Solution

The fourth proportional to 4,188.49, 5,780.43 and 2,863.98 is: 3,952.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.49 : 5,780.43 = 2,863.98 : x
  2. Step 2: Convert to fraction form
    4,188.49/5,780.43 = 2,863.98/x
  3. Step 3: Cross multiply
    4,188.49x = 5,780.43 × 2,863.98
  4. Step 4: Simplify right side
    4,188.49x = 16,555,035.91
  5. Step 5: Solve for x
    x = 16,555,035.91/4,188.49
  6. Step 6: Final answer
    x = 3,952.51

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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.