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Finding the Fourth Proportional to 5,790.74, 8,681.23 and 3,936.65

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Solution

The fourth proportional to 5,790.74, 8,681.23 and 3,936.65 is: 5,901.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.74 : 8,681.23 = 3,936.65 : x
  2. Step 2: Convert to fraction form
    5,790.74/8,681.23 = 3,936.65/x
  3. Step 3: Cross multiply
    5,790.74x = 8,681.23 × 3,936.65
  4. Step 4: Simplify right side
    5,790.74x = 34,174,964.08
  5. Step 5: Solve for x
    x = 34,174,964.08/5,790.74
  6. Step 6: Final answer
    x = 5,901.66

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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.