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Finding the Fourth Proportional to 4,935.85, 7,404.99 and 3,477.85

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Solution

The fourth proportional to 4,935.85, 7,404.99 and 3,477.85 is: 5,217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935.85 : 7,404.99 = 3,477.85 : x
  2. Step 2: Convert to fraction form
    4,935.85/7,404.99 = 3,477.85/x
  3. Step 3: Cross multiply
    4,935.85x = 7,404.99 × 3,477.85
  4. Step 4: Simplify right side
    4,935.85x = 25,753,483.91
  5. Step 5: Solve for x
    x = 25,753,483.91/4,935.85
  6. Step 6: Final answer
    x = 5,217.64

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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.