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Finding the Fourth Proportional to 4,694.76, 6,478.18 and 4,568.81

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Solution

The fourth proportional to 4,694.76, 6,478.18 and 4,568.81 is: 6,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.76 : 6,478.18 = 4,568.81 : x
  2. Step 2: Convert to fraction form
    4,694.76/6,478.18 = 4,568.81/x
  3. Step 3: Cross multiply
    4,694.76x = 6,478.18 × 4,568.81
  4. Step 4: Simplify right side
    4,694.76x = 29,597,529.75
  5. Step 5: Solve for x
    x = 29,597,529.75/4,694.76
  6. Step 6: Final answer
    x = 6,304.38

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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.