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Finding the Fourth Proportional to 4,171.65, 6,259.31 and 2,223.38

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Solution

The fourth proportional to 4,171.65, 6,259.31 and 2,223.38 is: 3,336.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.65 : 6,259.31 = 2,223.38 : x
  2. Step 2: Convert to fraction form
    4,171.65/6,259.31 = 2,223.38/x
  3. Step 3: Cross multiply
    4,171.65x = 6,259.31 × 2,223.38
  4. Step 4: Simplify right side
    4,171.65x = 13,916,782.25
  5. Step 5: Solve for x
    x = 13,916,782.25/4,171.65
  6. Step 6: Final answer
    x = 3,336.04

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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.