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Finding the Fourth Proportional to 5,743.74, 8,613.78 and 2,233.51

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Solution

The fourth proportional to 5,743.74, 8,613.78 and 2,233.51 is: 3,349.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.74 : 8,613.78 = 2,233.51 : x
  2. Step 2: Convert to fraction form
    5,743.74/8,613.78 = 2,233.51/x
  3. Step 3: Cross multiply
    5,743.74x = 8,613.78 × 2,233.51
  4. Step 4: Simplify right side
    5,743.74x = 19,238,963.77
  5. Step 5: Solve for x
    x = 19,238,963.77/5,743.74
  6. Step 6: Final answer
    x = 3,349.55

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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.