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Finding the Fourth Proportional to 5,562.68, 7,676.27 and 3,172.77

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Solution

The fourth proportional to 5,562.68, 7,676.27 and 3,172.77 is: 4,378.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,562.68 : 7,676.27 = 3,172.77 : x
  2. Step 2: Convert to fraction form
    5,562.68/7,676.27 = 3,172.77/x
  3. Step 3: Cross multiply
    5,562.68x = 7,676.27 × 3,172.77
  4. Step 4: Simplify right side
    5,562.68x = 24,355,035.20
  5. Step 5: Solve for x
    x = 24,355,035.20/5,562.68
  6. Step 6: Final answer
    x = 4,378.30

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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.