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Finding the Fourth Proportional to 5,806.36, 8,708.22 and 1,645.42

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Solution

The fourth proportional to 5,806.36, 8,708.22 and 1,645.42 is: 2,467.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.36 : 8,708.22 = 1,645.42 : x
  2. Step 2: Convert to fraction form
    5,806.36/8,708.22 = 1,645.42/x
  3. Step 3: Cross multiply
    5,806.36x = 8,708.22 × 1,645.42
  4. Step 4: Simplify right side
    5,806.36x = 14,328,679.35
  5. Step 5: Solve for x
    x = 14,328,679.35/5,806.36
  6. Step 6: Final answer
    x = 2,467.76

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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.