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Finding the Fourth Proportional to 3,770.42, 5,659.23 and 2,312.42

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Solution

The fourth proportional to 3,770.42, 5,659.23 and 2,312.42 is: 3,470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.42 : 5,659.23 = 2,312.42 : x
  2. Step 2: Convert to fraction form
    3,770.42/5,659.23 = 2,312.42/x
  3. Step 3: Cross multiply
    3,770.42x = 5,659.23 × 2,312.42
  4. Step 4: Simplify right side
    3,770.42x = 13,086,516.64
  5. Step 5: Solve for x
    x = 13,086,516.64/3,770.42
  6. Step 6: Final answer
    x = 3,470.84

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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.