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Finding the Fourth Proportional to 3,743.33, 5,613.09 and 1,277.28

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Solution

The fourth proportional to 3,743.33, 5,613.09 and 1,277.28 is: 1,915.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.33 : 5,613.09 = 1,277.28 : x
  2. Step 2: Convert to fraction form
    3,743.33/5,613.09 = 1,277.28/x
  3. Step 3: Cross multiply
    3,743.33x = 5,613.09 × 1,277.28
  4. Step 4: Simplify right side
    3,743.33x = 7,169,487.60
  5. Step 5: Solve for x
    x = 7,169,487.60/3,743.33
  6. Step 6: Final answer
    x = 1,915.27

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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.