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Finding the Fourth Proportional to 3,698.86, 5,549.73 and 2,057.26

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Solution

The fourth proportional to 3,698.86, 5,549.73 and 2,057.26 is: 3,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.86 : 5,549.73 = 2,057.26 : x
  2. Step 2: Convert to fraction form
    3,698.86/5,549.73 = 2,057.26/x
  3. Step 3: Cross multiply
    3,698.86x = 5,549.73 × 2,057.26
  4. Step 4: Simplify right side
    3,698.86x = 11,417,199.50
  5. Step 5: Solve for x
    x = 11,417,199.50/3,698.86
  6. Step 6: Final answer
    x = 3,086.68

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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.