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Finding the Fourth Proportional to 4,605.12, 6,906.16 and 1,832.48

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Solution

The fourth proportional to 4,605.12, 6,906.16 and 1,832.48 is: 2,748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.12 : 6,906.16 = 1,832.48 : x
  2. Step 2: Convert to fraction form
    4,605.12/6,906.16 = 1,832.48/x
  3. Step 3: Cross multiply
    4,605.12x = 6,906.16 × 1,832.48
  4. Step 4: Simplify right side
    4,605.12x = 12,655,400.08
  5. Step 5: Solve for x
    x = 12,655,400.08/4,605.12
  6. Step 6: Final answer
    x = 2,748.12

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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.