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Finding the Fourth Proportional to 5,158.80, 7,735.29 and 1,647.99

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Solution

The fourth proportional to 5,158.80, 7,735.29 and 1,647.99 is: 2,471.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.80 : 7,735.29 = 1,647.99 : x
  2. Step 2: Convert to fraction form
    5,158.80/7,735.29 = 1,647.99/x
  3. Step 3: Cross multiply
    5,158.80x = 7,735.29 × 1,647.99
  4. Step 4: Simplify right side
    5,158.80x = 12,747,680.57
  5. Step 5: Solve for x
    x = 12,747,680.57/5,158.80
  6. Step 6: Final answer
    x = 2,471.06

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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.