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Finding the Fourth Proportional to 5,304.46, 7,954.14 and 1,971.64

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Solution

The fourth proportional to 5,304.46, 7,954.14 and 1,971.64 is: 2,956.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.46 : 7,954.14 = 1,971.64 : x
  2. Step 2: Convert to fraction form
    5,304.46/7,954.14 = 1,971.64/x
  3. Step 3: Cross multiply
    5,304.46x = 7,954.14 × 1,971.64
  4. Step 4: Simplify right side
    5,304.46x = 15,682,700.59
  5. Step 5: Solve for x
    x = 15,682,700.59/5,304.46
  6. Step 6: Final answer
    x = 2,956.51

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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.