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Finding the Fourth Proportional to 5,293.64, 7,936.20 and 3,623.28

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Solution

The fourth proportional to 5,293.64, 7,936.20 and 3,623.28 is: 5,432.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.64 : 7,936.20 = 3,623.28 : x
  2. Step 2: Convert to fraction form
    5,293.64/7,936.20 = 3,623.28/x
  3. Step 3: Cross multiply
    5,293.64x = 7,936.20 × 3,623.28
  4. Step 4: Simplify right side
    5,293.64x = 28,755,074.74
  5. Step 5: Solve for x
    x = 28,755,074.74/5,293.64
  6. Step 6: Final answer
    x = 5,432.01

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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.