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Finding the Fourth Proportional to 5,108.50, 7,661.85 and 1,409.86

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Solution

The fourth proportional to 5,108.50, 7,661.85 and 1,409.86 is: 2,114.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.50 : 7,661.85 = 1,409.86 : x
  2. Step 2: Convert to fraction form
    5,108.50/7,661.85 = 1,409.86/x
  3. Step 3: Cross multiply
    5,108.50x = 7,661.85 × 1,409.86
  4. Step 4: Simplify right side
    5,108.50x = 10,802,135.84
  5. Step 5: Solve for x
    x = 10,802,135.84/5,108.50
  6. Step 6: Final answer
    x = 2,114.54

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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.