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Finding the Fourth Proportional to 4,271.43, 6,408.08 and 1,309.88

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Solution

The fourth proportional to 4,271.43, 6,408.08 and 1,309.88 is: 1,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.43 : 6,408.08 = 1,309.88 : x
  2. Step 2: Convert to fraction form
    4,271.43/6,408.08 = 1,309.88/x
  3. Step 3: Cross multiply
    4,271.43x = 6,408.08 × 1,309.88
  4. Step 4: Simplify right side
    4,271.43x = 8,393,777.24
  5. Step 5: Solve for x
    x = 8,393,777.24/4,271.43
  6. Step 6: Final answer
    x = 1,965.10

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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.