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Finding the Fourth Proportional to 3,385.42, 5,078.12 and 920.59

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Solution

The fourth proportional to 3,385.42, 5,078.12 and 920.59 is: 1,380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.42 : 5,078.12 = 920.59 : x
  2. Step 2: Convert to fraction form
    3,385.42/5,078.12 = 920.59/x
  3. Step 3: Cross multiply
    3,385.42x = 5,078.12 × 920.59
  4. Step 4: Simplify right side
    3,385.42x = 4,674,874.58
  5. Step 5: Solve for x
    x = 4,674,874.58/3,385.42
  6. Step 6: Final answer
    x = 1,380.89

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1.5x scale

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.