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Finding the Fourth Proportional to 6,378.86, 8,800.98 and 4,021.76

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Solution

The fourth proportional to 6,378.86, 8,800.98 and 4,021.76 is: 5,548.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.86 : 8,800.98 = 4,021.76 : x
  2. Step 2: Convert to fraction form
    6,378.86/8,800.98 = 4,021.76/x
  3. Step 3: Cross multiply
    6,378.86x = 8,800.98 × 4,021.76
  4. Step 4: Simplify right side
    6,378.86x = 35,395,429.32
  5. Step 5: Solve for x
    x = 35,395,429.32/6,378.86
  6. Step 6: Final answer
    x = 5,548.86

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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.