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Finding the Fourth Proportional to 3,900.66, 5,377.38 and 3,058.08

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Solution

The fourth proportional to 3,900.66, 5,377.38 and 3,058.08 is: 4,215.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.66 : 5,377.38 = 3,058.08 : x
  2. Step 2: Convert to fraction form
    3,900.66/5,377.38 = 3,058.08/x
  3. Step 3: Cross multiply
    3,900.66x = 5,377.38 × 3,058.08
  4. Step 4: Simplify right side
    3,900.66x = 16,444,458.23
  5. Step 5: Solve for x
    x = 16,444,458.23/3,900.66
  6. Step 6: Final answer
    x = 4,215.81

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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.