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Finding the Fourth Proportional to 3,499.58, 5,249.93 and 1,159.67

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Solution

The fourth proportional to 3,499.58, 5,249.93 and 1,159.67 is: 1,739.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.58 : 5,249.93 = 1,159.67 : x
  2. Step 2: Convert to fraction form
    3,499.58/5,249.93 = 1,159.67/x
  3. Step 3: Cross multiply
    3,499.58x = 5,249.93 × 1,159.67
  4. Step 4: Simplify right side
    3,499.58x = 6,088,190.33
  5. Step 5: Solve for x
    x = 6,088,190.33/3,499.58
  6. Step 6: Final answer
    x = 1,739.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.