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Finding the Fourth Proportional to 4,705.62, 7,057.61 and 2,207.07

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Solution

The fourth proportional to 4,705.62, 7,057.61 and 2,207.07 is: 3,310.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.62 : 7,057.61 = 2,207.07 : x
  2. Step 2: Convert to fraction form
    4,705.62/7,057.61 = 2,207.07/x
  3. Step 3: Cross multiply
    4,705.62x = 7,057.61 × 2,207.07
  4. Step 4: Simplify right side
    4,705.62x = 15,576,628.27
  5. Step 5: Solve for x
    x = 15,576,628.27/4,705.62
  6. Step 6: Final answer
    x = 3,310.22

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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.