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Finding the Fourth Proportional to 4,271.20, 5,893.50 and 2,408.20

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Solution

The fourth proportional to 4,271.20, 5,893.50 and 2,408.20 is: 3,322.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.20 : 5,893.50 = 2,408.20 : x
  2. Step 2: Convert to fraction form
    4,271.20/5,893.50 = 2,408.20/x
  3. Step 3: Cross multiply
    4,271.20x = 5,893.50 × 2,408.20
  4. Step 4: Simplify right side
    4,271.20x = 14,192,726.70
  5. Step 5: Solve for x
    x = 14,192,726.70/4,271.20
  6. Step 6: Final answer
    x = 3,322.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.