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Finding the Fourth Proportional to 4,493.29, 6,739.90 and 1,161.53

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Solution

The fourth proportional to 4,493.29, 6,739.90 and 1,161.53 is: 1,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.29 : 6,739.90 = 1,161.53 : x
  2. Step 2: Convert to fraction form
    4,493.29/6,739.90 = 1,161.53/x
  3. Step 3: Cross multiply
    4,493.29x = 6,739.90 × 1,161.53
  4. Step 4: Simplify right side
    4,493.29x = 7,828,596.05
  5. Step 5: Solve for x
    x = 7,828,596.05/4,493.29
  6. Step 6: Final answer
    x = 1,742.29

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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.