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Finding the Fourth Proportional to 3,677.86, 5,518.23 and 1,487.22

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Solution

The fourth proportional to 3,677.86, 5,518.23 and 1,487.22 is: 2,231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.86 : 5,518.23 = 1,487.22 : x
  2. Step 2: Convert to fraction form
    3,677.86/5,518.23 = 1,487.22/x
  3. Step 3: Cross multiply
    3,677.86x = 5,518.23 × 1,487.22
  4. Step 4: Simplify right side
    3,677.86x = 8,206,822.02
  5. Step 5: Solve for x
    x = 8,206,822.02/3,677.86
  6. Step 6: Final answer
    x = 2,231.41

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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.