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Finding the Fourth Proportional to 4,271.84, 6,408.03 and 1,806.34

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Solution

The fourth proportional to 4,271.84, 6,408.03 and 1,806.34 is: 2,709.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.84 : 6,408.03 = 1,806.34 : x
  2. Step 2: Convert to fraction form
    4,271.84/6,408.03 = 1,806.34/x
  3. Step 3: Cross multiply
    4,271.84x = 6,408.03 × 1,806.34
  4. Step 4: Simplify right side
    4,271.84x = 11,575,048.87
  5. Step 5: Solve for x
    x = 11,575,048.87/4,271.84
  6. Step 6: Final answer
    x = 2,709.62

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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.