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Finding the Fourth Proportional to 4,606, 6,356.88 and 2,743

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Solution

The fourth proportional to 4,606, 6,356.88 and 2,743 is: 3,785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606 : 6,356.88 = 2,743 : x
  2. Step 2: Convert to fraction form
    4,606/6,356.88 = 2,743/x
  3. Step 3: Cross multiply
    4,606x = 6,356.88 × 2,743
  4. Step 4: Simplify right side
    4,606x = 17,436,921.84
  5. Step 5: Solve for x
    x = 17,436,921.84/4,606
  6. Step 6: Final answer
    x = 3,785.70

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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.