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Finding the Fourth Proportional to 6,302, 8,696.76 and 3,507.44

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Solution

The fourth proportional to 6,302, 8,696.76 and 3,507.44 is: 4,840.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302 : 8,696.76 = 3,507.44 : x
  2. Step 2: Convert to fraction form
    6,302/8,696.76 = 3,507.44/x
  3. Step 3: Cross multiply
    6,302x = 8,696.76 × 3,507.44
  4. Step 4: Simplify right side
    6,302x = 30,503,363.89
  5. Step 5: Solve for x
    x = 30,503,363.89/6,302
  6. Step 6: Final answer
    x = 4,840.27

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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.