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Finding the Fourth Proportional to 4,709.30, 7,056.09 and 2,072.88

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Solution

The fourth proportional to 4,709.30, 7,056.09 and 2,072.88 is: 3,105.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.30 : 7,056.09 = 2,072.88 : x
  2. Step 2: Convert to fraction form
    4,709.30/7,056.09 = 2,072.88/x
  3. Step 3: Cross multiply
    4,709.30x = 7,056.09 × 2,072.88
  4. Step 4: Simplify right side
    4,709.30x = 14,626,427.84
  5. Step 5: Solve for x
    x = 14,626,427.84/4,709.30
  6. Step 6: Final answer
    x = 3,105.86

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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.