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Finding the Fourth Proportional to 5,049.92, 7,576.16 and 1,972.16

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Solution

The fourth proportional to 5,049.92, 7,576.16 and 1,972.16 is: 2,958.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.92 : 7,576.16 = 1,972.16 : x
  2. Step 2: Convert to fraction form
    5,049.92/7,576.16 = 1,972.16/x
  3. Step 3: Cross multiply
    5,049.92x = 7,576.16 × 1,972.16
  4. Step 4: Simplify right side
    5,049.92x = 14,941,399.71
  5. Step 5: Solve for x
    x = 14,941,399.71/5,049.92
  6. Step 6: Final answer
    x = 2,958.74

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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.