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Finding the Fourth Proportional to 5,058.06, 7,591.92 and 3,114.06

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Solution

The fourth proportional to 5,058.06, 7,591.92 and 3,114.06 is: 4,674.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058.06 : 7,591.92 = 3,114.06 : x
  2. Step 2: Convert to fraction form
    5,058.06/7,591.92 = 3,114.06/x
  3. Step 3: Cross multiply
    5,058.06x = 7,591.92 × 3,114.06
  4. Step 4: Simplify right side
    5,058.06x = 23,641,694.40
  5. Step 5: Solve for x
    x = 23,641,694.40/5,058.06
  6. Step 6: Final answer
    x = 4,674.06

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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.