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Finding the Fourth Proportional to 4,705.29, 7,059.75 and 2,857.74

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Solution

The fourth proportional to 4,705.29, 7,059.75 and 2,857.74 is: 4,287.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.29 : 7,059.75 = 2,857.74 : x
  2. Step 2: Convert to fraction form
    4,705.29/7,059.75 = 2,857.74/x
  3. Step 3: Cross multiply
    4,705.29x = 7,059.75 × 2,857.74
  4. Step 4: Simplify right side
    4,705.29x = 20,174,929.97
  5. Step 5: Solve for x
    x = 20,174,929.97/4,705.29
  6. Step 6: Final answer
    x = 4,287.71

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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.