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Finding the Fourth Proportional to 3,058.05, 4,587.84 and 866.73

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Solution

The fourth proportional to 3,058.05, 4,587.84 and 866.73 is: 1,300.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.05 : 4,587.84 = 866.73 : x
  2. Step 2: Convert to fraction form
    3,058.05/4,587.84 = 866.73/x
  3. Step 3: Cross multiply
    3,058.05x = 4,587.84 × 866.73
  4. Step 4: Simplify right side
    3,058.05x = 3,976,418.56
  5. Step 5: Solve for x
    x = 3,976,418.56/3,058.05
  6. Step 6: Final answer
    x = 1,300.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.