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Finding the Fourth Proportional to 4,239.69, 6,323.50 and 4,165.89

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Solution

The fourth proportional to 4,239.69, 6,323.50 and 4,165.89 is: 6,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,239.69 : 6,323.50 = 4,165.89 : x
  2. Step 2: Convert to fraction form
    4,239.69/6,323.50 = 4,165.89/x
  3. Step 3: Cross multiply
    4,239.69x = 6,323.50 × 4,165.89
  4. Step 4: Simplify right side
    4,239.69x = 26,342,995.00
  5. Step 5: Solve for x
    x = 26,342,995.00/4,239.69
  6. Step 6: Final answer
    x = 6,213.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.