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Finding the Fourth Proportional to 4,704.67, 7,051.20 and 2,509.30

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Solution

The fourth proportional to 4,704.67, 7,051.20 and 2,509.30 is: 3,760.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.67 : 7,051.20 = 2,509.30 : x
  2. Step 2: Convert to fraction form
    4,704.67/7,051.20 = 2,509.30/x
  3. Step 3: Cross multiply
    4,704.67x = 7,051.20 × 2,509.30
  4. Step 4: Simplify right side
    4,704.67x = 17,693,576.16
  5. Step 5: Solve for x
    x = 17,693,576.16/4,704.67
  6. Step 6: Final answer
    x = 3,760.85

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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.