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Finding the Fourth Proportional to 4,928.72, 7,387.64 and 2,006.32

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Solution

The fourth proportional to 4,928.72, 7,387.64 and 2,006.32 is: 3,007.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,928.72 : 7,387.64 = 2,006.32 : x
  2. Step 2: Convert to fraction form
    4,928.72/7,387.64 = 2,006.32/x
  3. Step 3: Cross multiply
    4,928.72x = 7,387.64 × 2,006.32
  4. Step 4: Simplify right side
    4,928.72x = 14,821,969.88
  5. Step 5: Solve for x
    x = 14,821,969.88/4,928.72
  6. Step 6: Final answer
    x = 3,007.27

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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.