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Finding the Fourth Proportional to 5,806.26, 8,711.70 and 1,858.13

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Solution

The fourth proportional to 5,806.26, 8,711.70 and 1,858.13 is: 2,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.26 : 8,711.70 = 1,858.13 : x
  2. Step 2: Convert to fraction form
    5,806.26/8,711.70 = 1,858.13/x
  3. Step 3: Cross multiply
    5,806.26x = 8,711.70 × 1,858.13
  4. Step 4: Simplify right side
    5,806.26x = 16,187,418.27
  5. Step 5: Solve for x
    x = 16,187,418.27/5,806.26
  6. Step 6: Final answer
    x = 2,787.93

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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.