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Finding the Fourth Proportional to 5,467.89, 7,545.49 and 3,077.91

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Solution

The fourth proportional to 5,467.89, 7,545.49 and 3,077.91 is: 4,247.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467.89 : 7,545.49 = 3,077.91 : x
  2. Step 2: Convert to fraction form
    5,467.89/7,545.49 = 3,077.91/x
  3. Step 3: Cross multiply
    5,467.89x = 7,545.49 × 3,077.91
  4. Step 4: Simplify right side
    5,467.89x = 23,224,331.43
  5. Step 5: Solve for x
    x = 23,224,331.43/5,467.89
  6. Step 6: Final answer
    x = 4,247.40

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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.