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Finding the Fourth Proportional to 4,215.92, 6,325.22 and 2,024.80

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Solution

The fourth proportional to 4,215.92, 6,325.22 and 2,024.80 is: 3,037.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.92 : 6,325.22 = 2,024.80 : x
  2. Step 2: Convert to fraction form
    4,215.92/6,325.22 = 2,024.80/x
  3. Step 3: Cross multiply
    4,215.92x = 6,325.22 × 2,024.80
  4. Step 4: Simplify right side
    4,215.92x = 12,807,294.70
  5. Step 5: Solve for x
    x = 12,807,294.70/4,215.92
  6. Step 6: Final answer
    x = 3,037.84

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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.