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Finding the Fourth Proportional to 4,704.90, 7,057.14 and 1,930.89

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Solution

The fourth proportional to 4,704.90, 7,057.14 and 1,930.89 is: 2,896.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.90 : 7,057.14 = 1,930.89 : x
  2. Step 2: Convert to fraction form
    4,704.90/7,057.14 = 1,930.89/x
  3. Step 3: Cross multiply
    4,704.90x = 7,057.14 × 1,930.89
  4. Step 4: Simplify right side
    4,704.90x = 13,626,553.81
  5. Step 5: Solve for x
    x = 13,626,553.81/4,704.90
  6. Step 6: Final answer
    x = 2,896.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.