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Finding the Fourth Proportional to 3,354.61, 5,033.96 and 2,120.32

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Solution

The fourth proportional to 3,354.61, 5,033.96 and 2,120.32 is: 3,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.61 : 5,033.96 = 2,120.32 : x
  2. Step 2: Convert to fraction form
    3,354.61/5,033.96 = 2,120.32/x
  3. Step 3: Cross multiply
    3,354.61x = 5,033.96 × 2,120.32
  4. Step 4: Simplify right side
    3,354.61x = 10,673,590.83
  5. Step 5: Solve for x
    x = 10,673,590.83/3,354.61
  6. Step 6: Final answer
    x = 3,181.77

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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.