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Finding the Fourth Proportional to 4,019, 5,546.88 and 2,527.14

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Solution

The fourth proportional to 4,019, 5,546.88 and 2,527.14 is: 3,487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019 : 5,546.88 = 2,527.14 : x
  2. Step 2: Convert to fraction form
    4,019/5,546.88 = 2,527.14/x
  3. Step 3: Cross multiply
    4,019x = 5,546.88 × 2,527.14
  4. Step 4: Simplify right side
    4,019x = 14,017,742.32
  5. Step 5: Solve for x
    x = 14,017,742.32/4,019
  6. Step 6: Final answer
    x = 3,487.87

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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.