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Finding the Fourth Proportional to 4,644.81, 6,968.43 and 2,695.14

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Solution

The fourth proportional to 4,644.81, 6,968.43 and 2,695.14 is: 4,043.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.81 : 6,968.43 = 2,695.14 : x
  2. Step 2: Convert to fraction form
    4,644.81/6,968.43 = 2,695.14/x
  3. Step 3: Cross multiply
    4,644.81x = 6,968.43 × 2,695.14
  4. Step 4: Simplify right side
    4,644.81x = 18,780,894.43
  5. Step 5: Solve for x
    x = 18,780,894.43/4,644.81
  6. Step 6: Final answer
    x = 4,043.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.