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Finding the Fourth Proportional to 4,934.98, 7,404.12 and 3,083.86

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Solution

The fourth proportional to 4,934.98, 7,404.12 and 3,083.86 is: 4,626.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.98 : 7,404.12 = 3,083.86 : x
  2. Step 2: Convert to fraction form
    4,934.98/7,404.12 = 3,083.86/x
  3. Step 3: Cross multiply
    4,934.98x = 7,404.12 × 3,083.86
  4. Step 4: Simplify right side
    4,934.98x = 22,833,269.50
  5. Step 5: Solve for x
    x = 22,833,269.50/4,934.98
  6. Step 6: Final answer
    x = 4,626.82

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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.