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Finding the Fourth Proportional to 5,786.22, 8,675.43 and 4,676.98

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Solution

The fourth proportional to 5,786.22, 8,675.43 and 4,676.98 is: 7,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.22 : 8,675.43 = 4,676.98 : x
  2. Step 2: Convert to fraction form
    5,786.22/8,675.43 = 4,676.98/x
  3. Step 3: Cross multiply
    5,786.22x = 8,675.43 × 4,676.98
  4. Step 4: Simplify right side
    5,786.22x = 40,574,812.60
  5. Step 5: Solve for x
    x = 40,574,812.60/5,786.22
  6. Step 6: Final answer
    x = 7,012.32

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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.