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Finding the Fourth Proportional to 4,806.47, 7,209.34 and 2,309.44

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Solution

The fourth proportional to 4,806.47, 7,209.34 and 2,309.44 is: 3,463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.47 : 7,209.34 = 2,309.44 : x
  2. Step 2: Convert to fraction form
    4,806.47/7,209.34 = 2,309.44/x
  3. Step 3: Cross multiply
    4,806.47x = 7,209.34 × 2,309.44
  4. Step 4: Simplify right side
    4,806.47x = 16,649,514.37
  5. Step 5: Solve for x
    x = 16,649,514.37/4,806.47
  6. Step 6: Final answer
    x = 3,463.98

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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.