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Finding the Fourth Proportional to 3,698.58, 5,539.77 and 1,744.86

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Solution

The fourth proportional to 3,698.58, 5,539.77 and 1,744.86 is: 2,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.58 : 5,539.77 = 1,744.86 : x
  2. Step 2: Convert to fraction form
    3,698.58/5,539.77 = 1,744.86/x
  3. Step 3: Cross multiply
    3,698.58x = 5,539.77 × 1,744.86
  4. Step 4: Simplify right side
    3,698.58x = 9,666,123.08
  5. Step 5: Solve for x
    x = 9,666,123.08/3,698.58
  6. Step 6: Final answer
    x = 2,613.47

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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.