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Finding the Fourth Proportional to 5,472.65, 8,207.55 and 1,576.14

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Solution

The fourth proportional to 5,472.65, 8,207.55 and 1,576.14 is: 2,363.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.65 : 8,207.55 = 1,576.14 : x
  2. Step 2: Convert to fraction form
    5,472.65/8,207.55 = 1,576.14/x
  3. Step 3: Cross multiply
    5,472.65x = 8,207.55 × 1,576.14
  4. Step 4: Simplify right side
    5,472.65x = 12,936,247.86
  5. Step 5: Solve for x
    x = 12,936,247.86/5,472.65
  6. Step 6: Final answer
    x = 2,363.80

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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.