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Finding the Fourth Proportional to 6,579.43, 9,079.60 and 3,746.66

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Solution

The fourth proportional to 6,579.43, 9,079.60 and 3,746.66 is: 5,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,579.43 : 9,079.60 = 3,746.66 : x
  2. Step 2: Convert to fraction form
    6,579.43/9,079.60 = 3,746.66/x
  3. Step 3: Cross multiply
    6,579.43x = 9,079.60 × 3,746.66
  4. Step 4: Simplify right side
    6,579.43x = 34,018,174.14
  5. Step 5: Solve for x
    x = 34,018,174.14/6,579.43
  6. Step 6: Final answer
    x = 5,170.38

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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.