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Finding the Fourth Proportional to 5,563.50, 7,676.76 and 4,219.86

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Solution

The fourth proportional to 5,563.50, 7,676.76 and 4,219.86 is: 5,822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.50 : 7,676.76 = 4,219.86 : x
  2. Step 2: Convert to fraction form
    5,563.50/7,676.76 = 4,219.86/x
  3. Step 3: Cross multiply
    5,563.50x = 7,676.76 × 4,219.86
  4. Step 4: Simplify right side
    5,563.50x = 32,394,852.45
  5. Step 5: Solve for x
    x = 32,394,852.45/5,563.50
  6. Step 6: Final answer
    x = 5,822.75

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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.