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Finding the Fourth Proportional to 4,906.61, 7,341.73 and 2,933.33

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Solution

The fourth proportional to 4,906.61, 7,341.73 and 2,933.33 is: 4,389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.61 : 7,341.73 = 2,933.33 : x
  2. Step 2: Convert to fraction form
    4,906.61/7,341.73 = 2,933.33/x
  3. Step 3: Cross multiply
    4,906.61x = 7,341.73 × 2,933.33
  4. Step 4: Simplify right side
    4,906.61x = 21,535,716.86
  5. Step 5: Solve for x
    x = 21,535,716.86/4,906.61
  6. Step 6: Final answer
    x = 4,389.12

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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.