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Finding the Fourth Proportional to 5,754.65, 8,632.27 and 1,859.36

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Solution

The fourth proportional to 5,754.65, 8,632.27 and 1,859.36 is: 2,789.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.65 : 8,632.27 = 1,859.36 : x
  2. Step 2: Convert to fraction form
    5,754.65/8,632.27 = 1,859.36/x
  3. Step 3: Cross multiply
    5,754.65x = 8,632.27 × 1,859.36
  4. Step 4: Simplify right side
    5,754.65x = 16,050,456.71
  5. Step 5: Solve for x
    x = 16,050,456.71/5,754.65
  6. Step 6: Final answer
    x = 2,789.13

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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.