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Finding the Fourth Proportional to 5,806.44, 8,706.90 and 2,685.51

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Solution

The fourth proportional to 5,806.44, 8,706.90 and 2,685.51 is: 4,026.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.44 : 8,706.90 = 2,685.51 : x
  2. Step 2: Convert to fraction form
    5,806.44/8,706.90 = 2,685.51/x
  3. Step 3: Cross multiply
    5,806.44x = 8,706.90 × 2,685.51
  4. Step 4: Simplify right side
    5,806.44x = 23,382,467.02
  5. Step 5: Solve for x
    x = 23,382,467.02/5,806.44
  6. Step 6: Final answer
    x = 4,026.99

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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.