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Finding the Fourth Proportional to 6,381.86, 8,800.55 and 4,257.43

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Solution

The fourth proportional to 6,381.86, 8,800.55 and 4,257.43 is: 5,870.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.86 : 8,800.55 = 4,257.43 : x
  2. Step 2: Convert to fraction form
    6,381.86/8,800.55 = 4,257.43/x
  3. Step 3: Cross multiply
    6,381.86x = 8,800.55 × 4,257.43
  4. Step 4: Simplify right side
    6,381.86x = 37,467,698.26
  5. Step 5: Solve for x
    x = 37,467,698.26/6,381.86
  6. Step 6: Final answer
    x = 5,870.97

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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.