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Finding the Fourth Proportional to 3,058.34, 4,578.54 and 2,766.54

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Solution

The fourth proportional to 3,058.34, 4,578.54 and 2,766.54 is: 4,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.34 : 4,578.54 = 2,766.54 : x
  2. Step 2: Convert to fraction form
    3,058.34/4,578.54 = 2,766.54/x
  3. Step 3: Cross multiply
    3,058.34x = 4,578.54 × 2,766.54
  4. Step 4: Simplify right side
    3,058.34x = 12,666,714.05
  5. Step 5: Solve for x
    x = 12,666,714.05/3,058.34
  6. Step 6: Final answer
    x = 4,141.70

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Why These Related Problems?

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