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Finding the Fourth Proportional to 5,057.66, 6,980.10 and 3,041.73

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Solution

The fourth proportional to 5,057.66, 6,980.10 and 3,041.73 is: 4,197.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.66 : 6,980.10 = 3,041.73 : x
  2. Step 2: Convert to fraction form
    5,057.66/6,980.10 = 3,041.73/x
  3. Step 3: Cross multiply
    5,057.66x = 6,980.10 × 3,041.73
  4. Step 4: Simplify right side
    5,057.66x = 21,231,579.57
  5. Step 5: Solve for x
    x = 21,231,579.57/5,057.66
  6. Step 6: Final answer
    x = 4,197.90

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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.