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Finding the Fourth Proportional to 3,385.34, 5,077.99 and 920.14

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Solution

The fourth proportional to 3,385.34, 5,077.99 and 920.14 is: 1,380.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.34 : 5,077.99 = 920.14 : x
  2. Step 2: Convert to fraction form
    3,385.34/5,077.99 = 920.14/x
  3. Step 3: Cross multiply
    3,385.34x = 5,077.99 × 920.14
  4. Step 4: Simplify right side
    3,385.34x = 4,672,478.74
  5. Step 5: Solve for x
    x = 4,672,478.74/3,385.34
  6. Step 6: Final answer
    x = 1,380.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.