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Finding the Fourth Proportional to 3,729.84, 5,596.02 and 2,344.20

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Solution

The fourth proportional to 3,729.84, 5,596.02 and 2,344.20 is: 3,517.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.84 : 5,596.02 = 2,344.20 : x
  2. Step 2: Convert to fraction form
    3,729.84/5,596.02 = 2,344.20/x
  3. Step 3: Cross multiply
    3,729.84x = 5,596.02 × 2,344.20
  4. Step 4: Simplify right side
    3,729.84x = 13,118,190.08
  5. Step 5: Solve for x
    x = 13,118,190.08/3,729.84
  6. Step 6: Final answer
    x = 3,517.09

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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.