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Finding the Fourth Proportional to 3,614.47, 4,986.73 and 2,197.72

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Solution

The fourth proportional to 3,614.47, 4,986.73 and 2,197.72 is: 3,032.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.47 : 4,986.73 = 2,197.72 : x
  2. Step 2: Convert to fraction form
    3,614.47/4,986.73 = 2,197.72/x
  3. Step 3: Cross multiply
    3,614.47x = 4,986.73 × 2,197.72
  4. Step 4: Simplify right side
    3,614.47x = 10,959,400.33
  5. Step 5: Solve for x
    x = 10,959,400.33/3,614.47
  6. Step 6: Final answer
    x = 3,032.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.