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Finding the Fourth Proportional to 6,395.76, 8,827.20 and 3,744.72

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Solution

The fourth proportional to 6,395.76, 8,827.20 and 3,744.72 is: 5,168.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.76 : 8,827.20 = 3,744.72 : x
  2. Step 2: Convert to fraction form
    6,395.76/8,827.20 = 3,744.72/x
  3. Step 3: Cross multiply
    6,395.76x = 8,827.20 × 3,744.72
  4. Step 4: Simplify right side
    6,395.76x = 33,055,392.38
  5. Step 5: Solve for x
    x = 33,055,392.38/6,395.76
  6. Step 6: Final answer
    x = 5,168.33

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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.