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Finding the Fourth Proportional to 4,605.41, 6,909.20 and 1,832.24

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Solution

The fourth proportional to 4,605.41, 6,909.20 and 1,832.24 is: 2,748.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.41 : 6,909.20 = 1,832.24 : x
  2. Step 2: Convert to fraction form
    4,605.41/6,909.20 = 1,832.24/x
  3. Step 3: Cross multiply
    4,605.41x = 6,909.20 × 1,832.24
  4. Step 4: Simplify right side
    4,605.41x = 12,659,327.59
  5. Step 5: Solve for x
    x = 12,659,327.59/4,605.41
  6. Step 6: Final answer
    x = 2,748.79

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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.