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Finding the Fourth Proportional to 4,423.96, 6,648.09 and 4,135.00

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Solution

The fourth proportional to 4,423.96, 6,648.09 and 4,135.00 is: 6,213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,423.96 : 6,648.09 = 4,135.00 : x
  2. Step 2: Convert to fraction form
    4,423.96/6,648.09 = 4,135.00/x
  3. Step 3: Cross multiply
    4,423.96x = 6,648.09 × 4,135.00
  4. Step 4: Simplify right side
    4,423.96x = 27,489,818.91
  5. Step 5: Solve for x
    x = 27,489,818.91/4,423.96
  6. Step 6: Final answer
    x = 6,213.86

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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.