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Finding the Fourth Proportional to 6,046.70, 8,343.90 and 3,688.38

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Solution

The fourth proportional to 6,046.70, 8,343.90 and 3,688.38 is: 5,089.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.70 : 8,343.90 = 3,688.38 : x
  2. Step 2: Convert to fraction form
    6,046.70/8,343.90 = 3,688.38/x
  3. Step 3: Cross multiply
    6,046.70x = 8,343.90 × 3,688.38
  4. Step 4: Simplify right side
    6,046.70x = 30,775,473.88
  5. Step 5: Solve for x
    x = 30,775,473.88/6,046.70
  6. Step 6: Final answer
    x = 5,089.63

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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.