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Finding the Fourth Proportional to 6,046.44, 8,342.64 and 3,687.72

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Solution

The fourth proportional to 6,046.44, 8,342.64 and 3,687.72 is: 5,088.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.44 : 8,342.64 = 3,687.72 : x
  2. Step 2: Convert to fraction form
    6,046.44/8,342.64 = 3,687.72/x
  3. Step 3: Cross multiply
    6,046.44x = 8,342.64 × 3,687.72
  4. Step 4: Simplify right side
    6,046.44x = 30,765,320.38
  5. Step 5: Solve for x
    x = 30,765,320.38/6,046.44
  6. Step 6: Final answer
    x = 5,088.17

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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.