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Finding the Fourth Proportional to 4,697.16, 6,481.70 and 2,706.38

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Solution

The fourth proportional to 4,697.16, 6,481.70 and 2,706.38 is: 3,734.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.16 : 6,481.70 = 2,706.38 : x
  2. Step 2: Convert to fraction form
    4,697.16/6,481.70 = 2,706.38/x
  3. Step 3: Cross multiply
    4,697.16x = 6,481.70 × 2,706.38
  4. Step 4: Simplify right side
    4,697.16x = 17,541,943.25
  5. Step 5: Solve for x
    x = 17,541,943.25/4,697.16
  6. Step 6: Final answer
    x = 3,734.58

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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.