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Finding the Fourth Proportional to 4,617.44, 6,916.34 and 4,286.96

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Solution

The fourth proportional to 4,617.44, 6,916.34 and 4,286.96 is: 6,421.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.44 : 6,916.34 = 4,286.96 : x
  2. Step 2: Convert to fraction form
    4,617.44/6,916.34 = 4,286.96/x
  3. Step 3: Cross multiply
    4,617.44x = 6,916.34 × 4,286.96
  4. Step 4: Simplify right side
    4,617.44x = 29,650,072.93
  5. Step 5: Solve for x
    x = 29,650,072.93/4,617.44
  6. Step 6: Final answer
    x = 6,421.32

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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.