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Finding the Fourth Proportional to 5,879.80, 8,117.92 and 3,644.05

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Solution

The fourth proportional to 5,879.80, 8,117.92 and 3,644.05 is: 5,031.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879.80 : 8,117.92 = 3,644.05 : x
  2. Step 2: Convert to fraction form
    5,879.80/8,117.92 = 3,644.05/x
  3. Step 3: Cross multiply
    5,879.80x = 8,117.92 × 3,644.05
  4. Step 4: Simplify right side
    5,879.80x = 29,582,106.38
  5. Step 5: Solve for x
    x = 29,582,106.38/5,879.80
  6. Step 6: Final answer
    x = 5,031.14

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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.