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Finding the Fourth Proportional to 4,147.65, 6,223.30 and 2,199.38

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Solution

The fourth proportional to 4,147.65, 6,223.30 and 2,199.38 is: 3,300.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.65 : 6,223.30 = 2,199.38 : x
  2. Step 2: Convert to fraction form
    4,147.65/6,223.30 = 2,199.38/x
  3. Step 3: Cross multiply
    4,147.65x = 6,223.30 × 2,199.38
  4. Step 4: Simplify right side
    4,147.65x = 13,687,364.94
  5. Step 5: Solve for x
    x = 13,687,364.94/4,147.65
  6. Step 6: Final answer
    x = 3,300.03

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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.