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Finding the Fourth Proportional to 3,058.57, 4,222.12 and 2,065.20

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Solution

The fourth proportional to 3,058.57, 4,222.12 and 2,065.20 is: 2,850.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.57 : 4,222.12 = 2,065.20 : x
  2. Step 2: Convert to fraction form
    3,058.57/4,222.12 = 2,065.20/x
  3. Step 3: Cross multiply
    3,058.57x = 4,222.12 × 2,065.20
  4. Step 4: Simplify right side
    3,058.57x = 8,719,501.11
  5. Step 5: Solve for x
    x = 8,719,501.11/3,058.57
  6. Step 6: Final answer
    x = 2,850.84

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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.