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Finding the Fourth Proportional to 3,429.28, 4,734.51 and 2,234.68

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Solution

The fourth proportional to 3,429.28, 4,734.51 and 2,234.68 is: 3,085.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.28 : 4,734.51 = 2,234.68 : x
  2. Step 2: Convert to fraction form
    3,429.28/4,734.51 = 2,234.68/x
  3. Step 3: Cross multiply
    3,429.28x = 4,734.51 × 2,234.68
  4. Step 4: Simplify right side
    3,429.28x = 10,580,114.81
  5. Step 5: Solve for x
    x = 10,580,114.81/3,429.28
  6. Step 6: Final answer
    x = 3,085.23

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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.