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Finding the Fourth Proportional to 3,435.92, 5,162.32 and 2,203.84

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Solution

The fourth proportional to 3,435.92, 5,162.32 and 2,203.84 is: 3,311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.92 : 5,162.32 = 2,203.84 : x
  2. Step 2: Convert to fraction form
    3,435.92/5,162.32 = 2,203.84/x
  3. Step 3: Cross multiply
    3,435.92x = 5,162.32 × 2,203.84
  4. Step 4: Simplify right side
    3,435.92x = 11,376,927.31
  5. Step 5: Solve for x
    x = 11,376,927.31/3,435.92
  6. Step 6: Final answer
    x = 3,311.17

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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.