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Finding the Fourth Proportional to 5,786.34, 8,696.52 and 4,805.46

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Solution

The fourth proportional to 5,786.34, 8,696.52 and 4,805.46 is: 7,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.34 : 8,696.52 = 4,805.46 : x
  2. Step 2: Convert to fraction form
    5,786.34/8,696.52 = 4,805.46/x
  3. Step 3: Cross multiply
    5,786.34x = 8,696.52 × 4,805.46
  4. Step 4: Simplify right side
    5,786.34x = 41,790,779.00
  5. Step 5: Solve for x
    x = 41,790,779.00/5,786.34
  6. Step 6: Final answer
    x = 7,222.32

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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.