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Finding the Fourth Proportional to 5,593, 8,389.50 and 1,945

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Solution

The fourth proportional to 5,593, 8,389.50 and 1,945 is: 2,917.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,593 : 8,389.50 = 1,945 : x
  2. Step 2: Convert to fraction form
    5,593/8,389.50 = 1,945/x
  3. Step 3: Cross multiply
    5,593x = 8,389.50 × 1,945
  4. Step 4: Simplify right side
    5,593x = 16,317,577.50
  5. Step 5: Solve for x
    x = 16,317,577.50/5,593
  6. Step 6: Final answer
    x = 2,917.50

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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.