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Finding the Fourth Proportional to 3,428.96, 4,734.16 and 2,235.04

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Solution

The fourth proportional to 3,428.96, 4,734.16 and 2,235.04 is: 3,085.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.96 : 4,734.16 = 2,235.04 : x
  2. Step 2: Convert to fraction form
    3,428.96/4,734.16 = 2,235.04/x
  3. Step 3: Cross multiply
    3,428.96x = 4,734.16 × 2,235.04
  4. Step 4: Simplify right side
    3,428.96x = 10,581,036.97
  5. Step 5: Solve for x
    x = 10,581,036.97/3,428.96
  6. Step 6: Final answer
    x = 3,085.79

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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.