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Finding the Fourth Proportional to 4,284.34, 6,423.72 and 2,819.04

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Solution

The fourth proportional to 4,284.34, 6,423.72 and 2,819.04 is: 4,226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284.34 : 6,423.72 = 2,819.04 : x
  2. Step 2: Convert to fraction form
    4,284.34/6,423.72 = 2,819.04/x
  3. Step 3: Cross multiply
    4,284.34x = 6,423.72 × 2,819.04
  4. Step 4: Simplify right side
    4,284.34x = 18,108,723.63
  5. Step 5: Solve for x
    x = 18,108,723.63/4,284.34
  6. Step 6: Final answer
    x = 4,226.72

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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.