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Finding the Fourth Proportional to 5,945.15, 8,917.73 and 1,784.99

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Solution

The fourth proportional to 5,945.15, 8,917.73 and 1,784.99 is: 2,677.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.15 : 8,917.73 = 1,784.99 : x
  2. Step 2: Convert to fraction form
    5,945.15/8,917.73 = 1,784.99/x
  3. Step 3: Cross multiply
    5,945.15x = 8,917.73 × 1,784.99
  4. Step 4: Simplify right side
    5,945.15x = 15,918,058.87
  5. Step 5: Solve for x
    x = 15,918,058.87/5,945.15
  6. Step 6: Final answer
    x = 2,677.49

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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.