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Finding the Fourth Proportional to 3,385.35, 5,078.03 and 920.18

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Solution

The fourth proportional to 3,385.35, 5,078.03 and 920.18 is: 1,380.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.35 : 5,078.03 = 920.18 : x
  2. Step 2: Convert to fraction form
    3,385.35/5,078.03 = 920.18/x
  3. Step 3: Cross multiply
    3,385.35x = 5,078.03 × 920.18
  4. Step 4: Simplify right side
    3,385.35x = 4,672,709.74
  5. Step 5: Solve for x
    x = 4,672,709.74/3,385.35
  6. Step 6: Final answer
    x = 1,380.27

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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.