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Finding the Fourth Proportional to 4,928.62, 7,394.04 and 1,642.04

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Solution

The fourth proportional to 4,928.62, 7,394.04 and 1,642.04 is: 2,463.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,928.62 : 7,394.04 = 1,642.04 : x
  2. Step 2: Convert to fraction form
    4,928.62/7,394.04 = 1,642.04/x
  3. Step 3: Cross multiply
    4,928.62x = 7,394.04 × 1,642.04
  4. Step 4: Simplify right side
    4,928.62x = 12,141,309.44
  5. Step 5: Solve for x
    x = 12,141,309.44/4,928.62
  6. Step 6: Final answer
    x = 2,463.43

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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.