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Finding the Fourth Proportional to 4,314.42, 5,956.06 and 2,824.62

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Solution

The fourth proportional to 4,314.42, 5,956.06 and 2,824.62 is: 3,899.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.42 : 5,956.06 = 2,824.62 : x
  2. Step 2: Convert to fraction form
    4,314.42/5,956.06 = 2,824.62/x
  3. Step 3: Cross multiply
    4,314.42x = 5,956.06 × 2,824.62
  4. Step 4: Simplify right side
    4,314.42x = 16,823,592.07
  5. Step 5: Solve for x
    x = 16,823,592.07/4,314.42
  6. Step 6: Final answer
    x = 3,899.39

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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.