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Finding the Fourth Proportional to 4,644, 6,403.41 and 2,962.71

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Solution

The fourth proportional to 4,644, 6,403.41 and 2,962.71 is: 4,085.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644 : 6,403.41 = 2,962.71 : x
  2. Step 2: Convert to fraction form
    4,644/6,403.41 = 2,962.71/x
  3. Step 3: Cross multiply
    4,644x = 6,403.41 × 2,962.71
  4. Step 4: Simplify right side
    4,644x = 18,971,446.84
  5. Step 5: Solve for x
    x = 18,971,446.84/4,644
  6. Step 6: Final answer
    x = 4,085.15

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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.