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Finding the Fourth Proportional to 3,699.50, 5,553.05 and 2,886.66

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Solution

The fourth proportional to 3,699.50, 5,553.05 and 2,886.66 is: 4,332.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.50 : 5,553.05 = 2,886.66 : x
  2. Step 2: Convert to fraction form
    3,699.50/5,553.05 = 2,886.66/x
  3. Step 3: Cross multiply
    3,699.50x = 5,553.05 × 2,886.66
  4. Step 4: Simplify right side
    3,699.50x = 16,029,752.88
  5. Step 5: Solve for x
    x = 16,029,752.88/3,699.50
  6. Step 6: Final answer
    x = 4,332.96

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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.