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Finding the Fourth Proportional to 4,576.38, 6,870.92 and 3,747.12

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Solution

The fourth proportional to 4,576.38, 6,870.92 and 3,747.12 is: 5,625.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.38 : 6,870.92 = 3,747.12 : x
  2. Step 2: Convert to fraction form
    4,576.38/6,870.92 = 3,747.12/x
  3. Step 3: Cross multiply
    4,576.38x = 6,870.92 × 3,747.12
  4. Step 4: Simplify right side
    4,576.38x = 25,746,143.01
  5. Step 5: Solve for x
    x = 25,746,143.01/4,576.38
  6. Step 6: Final answer
    x = 5,625.88

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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.