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Finding the Fourth Proportional to 3,446.86, 4,755.29 and 2,028.30

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Solution

The fourth proportional to 3,446.86, 4,755.29 and 2,028.30 is: 2,798.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.86 : 4,755.29 = 2,028.30 : x
  2. Step 2: Convert to fraction form
    3,446.86/4,755.29 = 2,028.30/x
  3. Step 3: Cross multiply
    3,446.86x = 4,755.29 × 2,028.30
  4. Step 4: Simplify right side
    3,446.86x = 9,645,154.71
  5. Step 5: Solve for x
    x = 9,645,154.71/3,446.86
  6. Step 6: Final answer
    x = 2,798.24

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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.