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Finding the Fourth Proportional to 5,806.36, 8,690.10 and 4,766.32

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Solution

The fourth proportional to 5,806.36, 8,690.10 and 4,766.32 is: 7,133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.36 : 8,690.10 = 4,766.32 : x
  2. Step 2: Convert to fraction form
    5,806.36/8,690.10 = 4,766.32/x
  3. Step 3: Cross multiply
    5,806.36x = 8,690.10 × 4,766.32
  4. Step 4: Simplify right side
    5,806.36x = 41,419,797.43
  5. Step 5: Solve for x
    x = 41,419,797.43/5,806.36
  6. Step 6: Final answer
    x = 7,133.52

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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.