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Finding the Fourth Proportional to 3,562.60, 5,340.70 and 3,173.80

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Solution

The fourth proportional to 3,562.60, 5,340.70 and 3,173.80 is: 4,757.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.60 : 5,340.70 = 3,173.80 : x
  2. Step 2: Convert to fraction form
    3,562.60/5,340.70 = 3,173.80/x
  3. Step 3: Cross multiply
    3,562.60x = 5,340.70 × 3,173.80
  4. Step 4: Simplify right side
    3,562.60x = 16,950,313.66
  5. Step 5: Solve for x
    x = 16,950,313.66/3,562.60
  6. Step 6: Final answer
    x = 4,757.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.