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Finding the Fourth Proportional to 5,806.91, 8,707.71 and 1,857.41

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Solution

The fourth proportional to 5,806.91, 8,707.71 and 1,857.41 is: 2,785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.91 : 8,707.71 = 1,857.41 : x
  2. Step 2: Convert to fraction form
    5,806.91/8,707.71 = 1,857.41/x
  3. Step 3: Cross multiply
    5,806.91x = 8,707.71 × 1,857.41
  4. Step 4: Simplify right side
    5,806.91x = 16,173,744.09
  5. Step 5: Solve for x
    x = 16,173,744.09/5,806.91
  6. Step 6: Final answer
    x = 2,785.26

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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.