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Finding the Fourth Proportional to 4,234.88, 6,354.16 and 2,284.80

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Solution

The fourth proportional to 4,234.88, 6,354.16 and 2,284.80 is: 3,428.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.88 : 6,354.16 = 2,284.80 : x
  2. Step 2: Convert to fraction form
    4,234.88/6,354.16 = 2,284.80/x
  3. Step 3: Cross multiply
    4,234.88x = 6,354.16 × 2,284.80
  4. Step 4: Simplify right side
    4,234.88x = 14,517,984.77
  5. Step 5: Solve for x
    x = 14,517,984.77/4,234.88
  6. Step 6: Final answer
    x = 3,428.19

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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.