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Finding the Fourth Proportional to 5,415.26, 7,472.24 and 3,176.30

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Solution

The fourth proportional to 5,415.26, 7,472.24 and 3,176.30 is: 4,382.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.26 : 7,472.24 = 3,176.30 : x
  2. Step 2: Convert to fraction form
    5,415.26/7,472.24 = 3,176.30/x
  3. Step 3: Cross multiply
    5,415.26x = 7,472.24 × 3,176.30
  4. Step 4: Simplify right side
    5,415.26x = 23,734,075.91
  5. Step 5: Solve for x
    x = 23,734,075.91/5,415.26
  6. Step 6: Final answer
    x = 4,382.81

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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.