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Finding the Fourth Proportional to 4,271.92, 6,408.54 and 1,639.30

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Solution

The fourth proportional to 4,271.92, 6,408.54 and 1,639.30 is: 2,459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.92 : 6,408.54 = 1,639.30 : x
  2. Step 2: Convert to fraction form
    4,271.92/6,408.54 = 1,639.30/x
  3. Step 3: Cross multiply
    4,271.92x = 6,408.54 × 1,639.30
  4. Step 4: Simplify right side
    4,271.92x = 10,505,479.38
  5. Step 5: Solve for x
    x = 10,505,479.38/4,271.92
  6. Step 6: Final answer
    x = 2,459.20

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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.