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Finding the Fourth Proportional to 4,934.96, 7,405.16 and 2,744.90

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Solution

The fourth proportional to 4,934.96, 7,405.16 and 2,744.90 is: 4,118.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.96 : 7,405.16 = 2,744.90 : x
  2. Step 2: Convert to fraction form
    4,934.96/7,405.16 = 2,744.90/x
  3. Step 3: Cross multiply
    4,934.96x = 7,405.16 × 2,744.90
  4. Step 4: Simplify right side
    4,934.96x = 20,326,372.93
  5. Step 5: Solve for x
    x = 20,326,372.93/4,934.96
  6. Step 6: Final answer
    x = 4,118.86

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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.