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Finding the Fourth Proportional to 5,916, 8,164.56 and 3,432

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Solution

The fourth proportional to 5,916, 8,164.56 and 3,432 is: 4,736.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916 : 8,164.56 = 3,432 : x
  2. Step 2: Convert to fraction form
    5,916/8,164.56 = 3,432/x
  3. Step 3: Cross multiply
    5,916x = 8,164.56 × 3,432
  4. Step 4: Simplify right side
    5,916x = 28,020,769.92
  5. Step 5: Solve for x
    x = 28,020,769.92/5,916
  6. Step 6: Final answer
    x = 4,736.44

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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.