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Finding the Fourth Proportional to 5,846.20, 8,764.38 and 4,806.28

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Solution

The fourth proportional to 5,846.20, 8,764.38 and 4,806.28 is: 7,205.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.20 : 8,764.38 = 4,806.28 : x
  2. Step 2: Convert to fraction form
    5,846.20/8,764.38 = 4,806.28/x
  3. Step 3: Cross multiply
    5,846.20x = 8,764.38 × 4,806.28
  4. Step 4: Simplify right side
    5,846.20x = 42,124,064.31
  5. Step 5: Solve for x
    x = 42,124,064.31/5,846.20
  6. Step 6: Final answer
    x = 7,205.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.