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Finding the Fourth Proportional to 6,288.72, 8,673.66 and 4,160.46

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Solution

The fourth proportional to 6,288.72, 8,673.66 and 4,160.46 is: 5,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.72 : 8,673.66 = 4,160.46 : x
  2. Step 2: Convert to fraction form
    6,288.72/8,673.66 = 4,160.46/x
  3. Step 3: Cross multiply
    6,288.72x = 8,673.66 × 4,160.46
  4. Step 4: Simplify right side
    6,288.72x = 36,086,415.48
  5. Step 5: Solve for x
    x = 36,086,415.48/6,288.72
  6. Step 6: Final answer
    x = 5,738.28

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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.