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Finding the Fourth Proportional to 3,842.44, 5,302.44 and 2,270.50

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Solution

The fourth proportional to 3,842.44, 5,302.44 and 2,270.50 is: 3,133.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.44 : 5,302.44 = 2,270.50 : x
  2. Step 2: Convert to fraction form
    3,842.44/5,302.44 = 2,270.50/x
  3. Step 3: Cross multiply
    3,842.44x = 5,302.44 × 2,270.50
  4. Step 4: Simplify right side
    3,842.44x = 12,039,190.02
  5. Step 5: Solve for x
    x = 12,039,190.02/3,842.44
  6. Step 6: Final answer
    x = 3,133.21

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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.