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Finding the Fourth Proportional to 4,494.29, 6,741.41 and 1,162.53

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Solution

The fourth proportional to 4,494.29, 6,741.41 and 1,162.53 is: 1,743.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.29 : 6,741.41 = 1,162.53 : x
  2. Step 2: Convert to fraction form
    4,494.29/6,741.41 = 1,162.53/x
  3. Step 3: Cross multiply
    4,494.29x = 6,741.41 × 1,162.53
  4. Step 4: Simplify right side
    4,494.29x = 7,837,085.55
  5. Step 5: Solve for x
    x = 7,837,085.55/4,494.29
  6. Step 6: Final answer
    x = 1,743.79

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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.