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Finding the Fourth Proportional to 4,664.52, 6,432 and 3,169.44

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Solution

The fourth proportional to 4,664.52, 6,432 and 3,169.44 is: 4,370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.52 : 6,432 = 3,169.44 : x
  2. Step 2: Convert to fraction form
    4,664.52/6,432 = 3,169.44/x
  3. Step 3: Cross multiply
    4,664.52x = 6,432 × 3,169.44
  4. Step 4: Simplify right side
    4,664.52x = 20,385,838.08
  5. Step 5: Solve for x
    x = 20,385,838.08/4,664.52
  6. Step 6: Final answer
    x = 4,370.40

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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.