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Finding the Fourth Proportional to 5,638.50, 8,457.62 and 1,943.28

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Solution

The fourth proportional to 5,638.50, 8,457.62 and 1,943.28 is: 2,914.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.50 : 8,457.62 = 1,943.28 : x
  2. Step 2: Convert to fraction form
    5,638.50/8,457.62 = 1,943.28/x
  3. Step 3: Cross multiply
    5,638.50x = 8,457.62 × 1,943.28
  4. Step 4: Simplify right side
    5,638.50x = 16,435,514.08
  5. Step 5: Solve for x
    x = 16,435,514.08/5,638.50
  6. Step 6: Final answer
    x = 2,914.87

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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.