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Finding the Fourth Proportional to 6,315.72, 8,717.25 and 4,302.46

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Solution

The fourth proportional to 6,315.72, 8,717.25 and 4,302.46 is: 5,938.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.72 : 8,717.25 = 4,302.46 : x
  2. Step 2: Convert to fraction form
    6,315.72/8,717.25 = 4,302.46/x
  3. Step 3: Cross multiply
    6,315.72x = 8,717.25 × 4,302.46
  4. Step 4: Simplify right side
    6,315.72x = 37,505,619.44
  5. Step 5: Solve for x
    x = 37,505,619.44/6,315.72
  6. Step 6: Final answer
    x = 5,938.46

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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.