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Finding the Fourth Proportional to 5,046.94, 7,568.34 and 2,971.09

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Solution

The fourth proportional to 5,046.94, 7,568.34 and 2,971.09 is: 4,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.94 : 7,568.34 = 2,971.09 : x
  2. Step 2: Convert to fraction form
    5,046.94/7,568.34 = 2,971.09/x
  3. Step 3: Cross multiply
    5,046.94x = 7,568.34 × 2,971.09
  4. Step 4: Simplify right side
    5,046.94x = 22,486,219.29
  5. Step 5: Solve for x
    x = 22,486,219.29/5,046.94
  6. Step 6: Final answer
    x = 4,455.42

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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.