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Finding the Fourth Proportional to 3,429.92, 4,740.56 and 3,025.44

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Solution

The fourth proportional to 3,429.92, 4,740.56 and 3,025.44 is: 4,181.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.92 : 4,740.56 = 3,025.44 : x
  2. Step 2: Convert to fraction form
    3,429.92/4,740.56 = 3,025.44/x
  3. Step 3: Cross multiply
    3,429.92x = 4,740.56 × 3,025.44
  4. Step 4: Simplify right side
    3,429.92x = 14,342,279.85
  5. Step 5: Solve for x
    x = 14,342,279.85/3,429.92
  6. Step 6: Final answer
    x = 4,181.52

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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.