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Finding the Fourth Proportional to 4,993.11, 7,477.99 and 3,946.08

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Solution

The fourth proportional to 4,993.11, 7,477.99 and 3,946.08 is: 5,909.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.11 : 7,477.99 = 3,946.08 : x
  2. Step 2: Convert to fraction form
    4,993.11/7,477.99 = 3,946.08/x
  3. Step 3: Cross multiply
    4,993.11x = 7,477.99 × 3,946.08
  4. Step 4: Simplify right side
    4,993.11x = 29,508,787.15
  5. Step 5: Solve for x
    x = 29,508,787.15/4,993.11
  6. Step 6: Final answer
    x = 5,909.90

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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.