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Finding the Fourth Proportional to 5,846.14, 8,769.24 and 1,950.53

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Solution

The fourth proportional to 5,846.14, 8,769.24 and 1,950.53 is: 2,925.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.14 : 8,769.24 = 1,950.53 : x
  2. Step 2: Convert to fraction form
    5,846.14/8,769.24 = 1,950.53/x
  3. Step 3: Cross multiply
    5,846.14x = 8,769.24 × 1,950.53
  4. Step 4: Simplify right side
    5,846.14x = 17,104,687.62
  5. Step 5: Solve for x
    x = 17,104,687.62/5,846.14
  6. Step 6: Final answer
    x = 2,925.81

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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.