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Finding the Fourth Proportional to 3,741.66, 5,613.63 and 1,768.80

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Solution

The fourth proportional to 3,741.66, 5,613.63 and 1,768.80 is: 2,653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.66 : 5,613.63 = 1,768.80 : x
  2. Step 2: Convert to fraction form
    3,741.66/5,613.63 = 1,768.80/x
  3. Step 3: Cross multiply
    3,741.66x = 5,613.63 × 1,768.80
  4. Step 4: Simplify right side
    3,741.66x = 9,929,388.74
  5. Step 5: Solve for x
    x = 9,929,388.74/3,741.66
  6. Step 6: Final answer
    x = 2,653.74

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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.