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Finding the Fourth Proportional to 5,315.26, 7,965.60 and 3,363.98

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Solution

The fourth proportional to 5,315.26, 7,965.60 and 3,363.98 is: 5,041.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.26 : 7,965.60 = 3,363.98 : x
  2. Step 2: Convert to fraction form
    5,315.26/7,965.60 = 3,363.98/x
  3. Step 3: Cross multiply
    5,315.26x = 7,965.60 × 3,363.98
  4. Step 4: Simplify right side
    5,315.26x = 26,796,119.09
  5. Step 5: Solve for x
    x = 26,796,119.09/5,315.26
  6. Step 6: Final answer
    x = 5,041.36

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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.