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Finding the Fourth Proportional to 3,747.95, 5,613.47 and 2,185.61

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Solution

The fourth proportional to 3,747.95, 5,613.47 and 2,185.61 is: 3,273.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.95 : 5,613.47 = 2,185.61 : x
  2. Step 2: Convert to fraction form
    3,747.95/5,613.47 = 2,185.61/x
  3. Step 3: Cross multiply
    3,747.95x = 5,613.47 × 2,185.61
  4. Step 4: Simplify right side
    3,747.95x = 12,268,881.29
  5. Step 5: Solve for x
    x = 12,268,881.29/3,747.95
  6. Step 6: Final answer
    x = 3,273.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.