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Finding the Fourth Proportional to 5,651.51, 8,474.51 and 1,952.43

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Solution

The fourth proportional to 5,651.51, 8,474.51 and 1,952.43 is: 2,927.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.51 : 8,474.51 = 1,952.43 : x
  2. Step 2: Convert to fraction form
    5,651.51/8,474.51 = 1,952.43/x
  3. Step 3: Cross multiply
    5,651.51x = 8,474.51 × 1,952.43
  4. Step 4: Simplify right side
    5,651.51x = 16,545,877.80
  5. Step 5: Solve for x
    x = 16,545,877.80/5,651.51
  6. Step 6: Final answer
    x = 2,927.69

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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.