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Finding the Fourth Proportional to 4,671.62, 7,000.12 and 3,975.43

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Solution

The fourth proportional to 4,671.62, 7,000.12 and 3,975.43 is: 5,956.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.62 : 7,000.12 = 3,975.43 : x
  2. Step 2: Convert to fraction form
    4,671.62/7,000.12 = 3,975.43/x
  3. Step 3: Cross multiply
    4,671.62x = 7,000.12 × 3,975.43
  4. Step 4: Simplify right side
    4,671.62x = 27,828,487.05
  5. Step 5: Solve for x
    x = 27,828,487.05/4,671.62
  6. Step 6: Final answer
    x = 5,956.92

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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.