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Finding the Fourth Proportional to 5,311.26, 7,965.84 and 5,047.83

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Solution

The fourth proportional to 5,311.26, 7,965.84 and 5,047.83 is: 7,570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.26 : 7,965.84 = 5,047.83 : x
  2. Step 2: Convert to fraction form
    5,311.26/7,965.84 = 5,047.83/x
  3. Step 3: Cross multiply
    5,311.26x = 7,965.84 × 5,047.83
  4. Step 4: Simplify right side
    5,311.26x = 40,210,206.13
  5. Step 5: Solve for x
    x = 40,210,206.13/5,311.26
  6. Step 6: Final answer
    x = 7,570.75

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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.