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Finding the Fourth Proportional to 5,770.85, 7,961.65 and 4,426.70

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Solution

The fourth proportional to 5,770.85, 7,961.65 and 4,426.70 is: 6,107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.85 : 7,961.65 = 4,426.70 : x
  2. Step 2: Convert to fraction form
    5,770.85/7,961.65 = 4,426.70/x
  3. Step 3: Cross multiply
    5,770.85x = 7,961.65 × 4,426.70
  4. Step 4: Simplify right side
    5,770.85x = 35,243,844.89
  5. Step 5: Solve for x
    x = 35,243,844.89/5,770.85
  6. Step 6: Final answer
    x = 6,107.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.