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Finding the Fourth Proportional to 3,645.95, 5,467.50 and 3,058.20

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Solution

The fourth proportional to 3,645.95, 5,467.50 and 3,058.20 is: 4,586.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.95 : 5,467.50 = 3,058.20 : x
  2. Step 2: Convert to fraction form
    3,645.95/5,467.50 = 3,058.20/x
  3. Step 3: Cross multiply
    3,645.95x = 5,467.50 × 3,058.20
  4. Step 4: Simplify right side
    3,645.95x = 16,720,708.50
  5. Step 5: Solve for x
    x = 16,720,708.50/3,645.95
  6. Step 6: Final answer
    x = 4,586.11

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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.