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Finding the Fourth Proportional to 5,709.65, 8,545.02 and 4,786.25

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Solution

The fourth proportional to 5,709.65, 8,545.02 and 4,786.25 is: 7,163.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.65 : 8,545.02 = 4,786.25 : x
  2. Step 2: Convert to fraction form
    5,709.65/8,545.02 = 4,786.25/x
  3. Step 3: Cross multiply
    5,709.65x = 8,545.02 × 4,786.25
  4. Step 4: Simplify right side
    5,709.65x = 40,898,601.98
  5. Step 5: Solve for x
    x = 40,898,601.98/5,709.65
  6. Step 6: Final answer
    x = 7,163.07

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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.