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Finding the Fourth Proportional to 4,644, 6,408.72 and 2,548.26

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Solution

The fourth proportional to 4,644, 6,408.72 and 2,548.26 is: 3,516.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644 : 6,408.72 = 2,548.26 : x
  2. Step 2: Convert to fraction form
    4,644/6,408.72 = 2,548.26/x
  3. Step 3: Cross multiply
    4,644x = 6,408.72 × 2,548.26
  4. Step 4: Simplify right side
    4,644x = 16,331,084.83
  5. Step 5: Solve for x
    x = 16,331,084.83/4,644
  6. Step 6: Final answer
    x = 3,516.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.